# Department of Mathematics, Corvinus University of Budapest

# Pure Mathematics and Applications

Postal: 1093 Budapest, Fővám tér 8

Phone: +36-1-482-5347

Web page: http://economics.uni-corvinus.hu/

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Phone: +36-1-482-5347

Web page: http://economics.uni-corvinus.hu/

Email:

More information through EDIRC

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**For corrections or technical questions regarding this series, please contact (Gyula MagyarkÃºti)**

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### 1995, Volume 6, Issue 1

**25-30 The semigroup of compact subsets of a topological group***by*Chae, Y., Kim, J. & Choi, I.S.**31-39 Symmetry on $q$-Pfaff-Saalschutz-Sheppard-series***by*Chu, W.**41-50 Monotone solutions of a functional integral equation***by*El-Sayed, W.G. & Deebes, E.I.**51-56 A note on semigroups, ordered semigroups***by*Kehayopulu, N. & Lajos, S.**57-67 The subsets $C\sb n$ in finite groups and inverse semigroups. II***by*Migliorini, F. & SzÃ©p, J.**69-77 Qualitative properties of solutions to quasi-linear inclusions. II***by*MureÅŸan, M.**79-96 On the numerical imbedding method***by*Park, C.**97-104 On coded structures. VII***by*SzÃ©p, J.**105-120 On quasi-prime, weakly quasi-prime left ideals in ordered semigroups***by*Xie, X. & Wu, M.

### 1994, Volume 5, Issue 4

**391-401 Exponential convergence of discrete-time systems using a constrained control***by*Gyurkovics, Ã‰. & TakÃ¡cs, T.**403-414 On the optimization of input-output systems cost functions***by*MolnÃ¡r, S.**415-424 On time varying discrete-time linear systems: reachability, distinguishability and identifiability***by*MolnÃ¡r, S. & Szigeti, F.**425-429 A note on the coverability problem in input-output systems***by*Szidarovszky, F. & MolnÃ¡r, S.

### 1994, Volume 5, Issue 3

**251-256 Finite groups with normal subgroups of prime power orders***by*Asaad, M., Ramadan, M. & Ezzat, M.**257-279 Near-rings in which every prime factor is integral***by*Birkenmeier, G.F., Heatherly, H.E. & Lee, E.K.S.**281-291 Dickson near-rings constructed by prolonging coupling maps***by*Gallina, G.**293-297 Note on prime, weakly prime ideals in ordered semigroups***by*Kehayopulu, N., Lajos, S. & Tsingelis, M.**299-303 Primary ideals of topological semigroups***by*Shum, K.P.**305-310 A note on the classification of flexible division algebras***by*Wene, G.P.**311-316 Boundary value of a contact problem***by*Abdou, M.A. & Hassan, S.A.**317-329 New results in subhypergroup theory and in nucleus structure***by*Leoreanu, V.**331-353 Qualitative properties of solutions to quasi-linear inclusions. I***by*MureÅŸan, M.**355-362 A Filippov-Gronwall-type inequality in infinite-dimensional spaces***by*TallÃ³s, P.**363-375 Convergence analysis of a trust region method***by*Xia, Z.H.

### 1994, Volume 5, Issue 2

**127-140 Incidence structures and permutation sets***by*Bonisoli, A. & Quattrocchi, P.**141-151 Some remarks on matrices with dominant diagonal***by*De Giuli, M.E., Magnani, U. & Moglia, P.**153-160 On the $(1,k)$-commutativity in semigroups satisfying permutation identities***by*GuÅ£an, M.**161-176 On regular, regular duo ordered semigroups***by*Kehayopulu, N.**177-185 On regular, regular and intra-regular ordered semigroups***by*Kehayopulu, N. & Lajos, S.**187-190 Characterizations of some classes of semigroups. II***by*Lajos, S.**191-194 On free and torsion-free automata***by*Park, C.**195-199 A generalisation of Green-Rees' finiteness condition for semigroups***by*Piochi, B.**201-204 On a completely additive incidence function***by*Schwab, E.D.**205-216 The subsets $C\sb n$ in the finite groups. I***by*Migliorini, F. & SzÃ©p, J.**217-224 On coded structures. VI***by*SzÃ©p, J.**225-239 Farkas type theorems for generalized convexities***by*IllÃ©s, T. & Kassay, G.**241-243 Errata to: ``Universal eigenvalue equations'' [Pure Math.\ Appl.\ Ser.\ B \bf 3 (1992), no.\ 2-4, 231--288; MR1241861 (95a:08002)]***by*Ricci, G.

### 1994, Volume 5, Issue 1

**1-10 Semisimple classes of involution rings and elementwise properties***by*Aburawash, U.A.**11-20 Rees products in $C\sp k\sb s$ semigroups***by*Chae, Y. & Choi, K.**21-45 Bidiagonalizable algebras***by*Simi, G.**47-57 Asymptotic theory for second-order differential equations***by*Al-Hammadi, A.S.A.**59-73 A convergence analysis for rational methods with a parameter in a Banach space***by*Argyros, I.K., Chen, D. & Qian, Q.**75-78 On the stability regions of special matrix products***by*Szidarovszky, F. & MolnÃ¡r, S.**79-104 Asymptotics for Lagrange inversion***by*Sprugnoli, R. & Verri, M.C.**105-125 Cardinal invariants and cleavability, something old and something new***by*KoÄ inac, L.D.

### 1993, Volume 4, Issue 4

**409-428 Inversion techniques and combinatorial identities---strange evaluations of hypergeometric series***by*Chu, W.C.**429-438 The application of finite simple groups to the generation of strong pseudorandom sequences and permutations***by*DÃ©nes, J. & Yff, P.**439-445 The Poisson manifold $\rm so(3)\sp *$ and its quantization***by*Ivan, G. & PopuÅ£a, V.**447-461 On regular, intra-regular ordered semigroups***by*Kehayopulu, N.**463-466 Notes on $(m,n)$-commutative semigroups***by*Lajos, S.**467-470 On simple rings with non-trivial socle***by*Ng, S.H. & Shum, K.P.**471-477 On coded structures. V***by*SzÃ©p, J.**479-491 Contraction-selection theorem and perturbed Lipschitz inclusions***by*KÃ¡nnai, Z.**493-499 Stabilization of verticum-type systems***by*MolnÃ¡r, S. & TakÃ¡cs, T.**501-505 Control in a special consumer-producer market***by*Szidarovszky, F. & Yen, J.

### 1993, Volume 4, Issue 3

**259-281 Groups with small centralizers of non-central elements. II***by*Adami, S., Bianchi, M. & Verardi, L.**283-296 Reduction of until-since operators to unary tense operators***by*Bellissima, F. & Mirolli, M.**297-309 On a class of quasi-local near-rings***by*Cotti Ferrero, C. & Ferrero, G.**311-316 Transformation of multiply transitive permutation sets and finite regular near-fields***by*Rinaldi, G.**317-327 On intra-regular ordered semigroups***by*Kehayopulu, N., Lajos, S. & Tsingelis, M.**329-331 Solution to a problem by Niovi Kehayopulu***by*Lajos, S.**333-338 Green's relations for principal generalized $\alpha$-ideals and principal $\alpha$-ideals in semigroups***by*Lajos, S. & Å ulka, R.**339-346 Multiplicative and additive elements in the ring of formal power series***by*Schwab, E.D.**347-352 On coded structures. IV***by*SzÃ©p, J.**353-361 Kalman's rank conditions for time dependent linear systems***by*MolnÃ¡r, S., Szigeti, F. & Vera, C.E.**369-373 On the convergence of an Euler-Chebysheff-type method under Newton-Kantorovich hypotheses***by*Argyros, I.K.**375-389 Conjugate direction algorithms with special (isometric or quasi-isometric) initial vectors***by*BodÃ³cs, L.**391-407 Solving tridiagonal system of linear equations in parallel***by*MihajloviÄ‡, M.D., MilovanoviÄ‡, I.Å½., StojÄ ev, M.K. & MilovanoviÄ‡, E.I.

### 1993, Volume 4, Issue 2

**133-141 Radicals of involution rings and elementwise properties***by*Aburawash, U.A.**143-145 Differentiable semigroups on a sphere***by*Chae, Y., Shin, J.M. & Lim, Y.**147-165 The complete integral closure of monoids and domains***by*Geroldinger, A.**167-173 On $n\sb (2)$-permutable semigroups***by*GuÅ£an, M.**175-190 An algebraic identity and its application---the unification of some matrix inverse pairs***by*Chu, W.C.**191-198 On coded structures. III***by*SzÃ©p, J.**199-209 On the solution of undetermined systems of nonlinear equations in Euclidean spaces***by*Argyros, I.K.**211-226 On structure of directional derivative and kernel for quasidifferentiable functions***by*Xia, Z.Q. & Gao, Y.**227-240 Discrete-time interconnected systems with mismatched uncertainty***by*TakÃ¡cs, T.**241-258 A method to determine weights of criteria in multiattribute decision making***by*Tu, T.V.

### 1993, Volume 4, Issue 1

**5-33 Exponential discretization of variable structure control systems***by*Yu, X.**35-42 VSS control of robotic manipulators by joint acceleration controller***by*Jezernik, K., Curk, B., Harnik, J. & SabanoviÄ‡, A.**43-58 Optimization of inverter switching pattern in sliding mode control of an inverter driven AC motor***by*Cucej, Z.**59-73 Steady modes in discontinuous control systems with time delay***by*Shustin, E.I., Fridman, Ãˆ.M. & Fridman, L.M.**75-82 Stabilization of infinite-dimensional systems by nonlinear boundary control***by*Rebiai, S.E. & Zinober, A.S.I.**83-97 VSC MATLAB Toolbox for multivariable variable structure control systems***by*Zinober, A.S.I. & Woodham, C.A.**99-133 Adaptive learning in perceptrons: a sliding mode control approach***by*Sira-Ramirez, H. & Colina-Morles, E.

### 1992, Volume 3, Issue 3-4

**135-139 Pure-$1$-$2$-$3$ subgroups in abelian groups***by*Abdulla, H.M.A.**141-145 On minimal neat subgroups***by*Abdulla, H.M.A.**147-153 Retractable Mealy-automata***by*BabcsÃ¡nyi, I. & Nagy, A.**155-160 Additional conjectures concerning magic squares***by*DÃ©nes, J. & Mullen, G.L.**161-183 Construction of subdirect products of groups of integers. I***by*Dickinson, R. & Tamura, T.**185-190 Planar functions: a remark concerning the number of solutions of an equation***by*Faina, G. & Ughi, E.**191-198 On a strongly regular relation in hypergroupoids***by*Freni, D.**199-214 More simple constructions for elliptic cubic curves with small numbers of points***by*Keedwell, A.D.**215-217 Some remarks on $(m,n)$-commutative semigroups***by*Lajos, S.**219-224 On radicals and rings with involution***by*Lee, P.H. & Wiegandt, R.**225-232 On some geometrical properties of alternative Cayley-Steiner algebras***by*Lenzi, D.**233-242 Chains and cycles in the subsets $C\sb n$ of the finitely generated and periodic semigroups. II***by*Migliorini, F. & SzÃ©p, J.**243-250 On projective automata***by*Oehmke, R.H.**251-257 Principal tolerance trivial inverse semirings***by*PondÄ•lÃÄ ek, B.**259-265 The greatest semigroup image of a groupoid***by*Satko, L.**267-270 Cayley theorem of semilattices***by*Shum, K.P. & Yang, A.Z.**271-288 On coded structures. II***by*SzÃ©p, J.**289-293 On the opposite of an algebra and commutative isotopes***by*Wene, G.P.**295-297 A characterization of algebras of finite representation type***by*Zayed, M.

### 1992, Volume 3, Issue 2-4

**77-86 On the convergence of optimization algorithms modeled by point-to-set mappings***by*Argyros, I.K. & Szidarovszky, F.**87-102 Topological classification of reducible subshifts***by*Kim, K.H. & Roush, F.W.**103-117 Spectral technique for simulation of nonlinear system of circuit equations***by*Palusinski, O.A., Szidarovszky, F. & Abdennadher, M.**119-136 Properly topologically conjugated relators***by*Mala, J. & SzÃ¡z, Ã .**137-142 Zeeman stability for two species which are competitives***by*Rueda, A.D.**143-150 Modified Cournot expectations in dynamic oligopolies***by*Szidarovszky, F., Rassenti, S. & Yen, J.**151-155 On a generalized method of correlated sampling for numerical integration***by*Szidarovszky, F.**157-173 On the solution of nonlinear operator equations in Banach space and their discretizations***by*Argyros, I.K.**175-185 Mapping fairness: some preliminary notes on the adaptation of the Schroeder-Bernstein theorem to economic theory***by*McNutt, P.A.**187-205 Stabilization of discrete-time interconnected systems***by*Gyurkovics, Ã‰. & TakÃ¡cs, T.**207-229 Affine shape control of cubics***by*KociÄ‡, L.M.**231-288 Universal eigenvalue equations***by*Ricci, G.

### 1992, Volume 3, Issue 1-4

**1-8 Necessary and sufficient conditions for the existence of equilibria in general conflict models***by*Szidarovszky, F. & Zsitvay, T.D.**9-13 The stability of discrete and continuous dynamic economic processes with instantaneous adjustment***by*MolnÃ¡r, S. & Szidarovszky, F.**15-23 Limit cycles in Goodwin's model***by*Navarro, J.G.**25-33 Limit cycles in dynamic economic models***by*Merrill, B. & Szidarovszky, F.**113-122 On the uniqueness of equilibrium in Cournot oligopoly with product differentiation***by*Szidarovszky, F. & Okuguchi, K.

### 1992, Volume 2, Issue 3-4

**157-160 Groups without certain minimal nonnilpotent subgroups***by*Asaad, M.**161-174 $(t;m,n)$-commutative automata***by*BabcsÃ¡nyi, I.**175-180 On $(m,n)$-commutative semigroups***by*BabcsÃ¡nyi, I.**181-185 Note on the number of solutions of an equation***by*Faina, G. & Ughi, E.**187-204 Syntactic linear[near]-rings associated with groups semiautomata***by*Fong, Y., Huang, F.K. & Ke, W.F.**205-213 Automorphisms of full shifts and Turing machines***by*Kim, K.H. & Roush, F.W.**215-237 Bi-ideals in semigroups. I. A survey***by*Lajos, S.**239-248 On the homomorphic images of ordered semigroups***by*Merlier, T.**249-279 The Motzkin family***by*Barcucci, E., Pinzani, R. & Sprugnoli, R.**281-284 A new proof of Putcha's theorem***by*ProtiÄ‡, P.V.**285-290 Factoring certain infinite abelian groups by cyclic subsets***by*CorrÃ¡di, K. & SzabÃ³, S.**291-306 Two 15th century algebra texts derived from the treatise of Master Dardi of Pisa***by*Simi, A.

### 1991, Volume 2, Issue 4

**189-197 Connectedness and well-chainedness properties of symmetric covering relators***by*Kurdics, J., Mala, J. & SzÃ¡z, Ã .**199-201 On polynomial integrating factors for first order ordinary differential equations***by*Stallworth, D.T. & Roush, F.W.**203-213 On the approximate realizability of analytic transfer functions by population diffusion***by*MolnÃ¡r, A. & Szigeti, F.**215-225 Systems of multivalued equations for solving controllability problems***by*Conti, G., Nistri, P. & Zecca, P.**227-238 Optimality conditions in multiobjective quasidifferentiable programming***by*Guangzhong, L. & Guangxue, H.

### 1991, Volume 2, Issue 2-3

**81-92 The birth of limit cycles in Cournot oligopoly models with time delays***by*Chiarella, C.**93-100 Stability of a special oligopoly market***by*Szidarovszky, F. & Yen, J.**163-187 Equilibria in markets with product differentiation and free entry***by*Furth, D.

### 1991, Volume 2, Issue 1

**3-22 On the structure of inert automorphisms of subshifts***by*Kim, K.H. & Roush, F.W.**5-13 A family of cost allocation methods for a tree***by*ForgÃ³, F. & Olajos, M.**23-31 An existence theorem for differential inclusions in Banach spaces***by*KÃ¡nnai, Z.**33-42 Strong shift equivalence over subsemirings of $\bf Q\sp +$***by*Kim, K.H. & Roush, F.W.**43-51 The effects of entry in an oligopoly with multi-product firms***by*Szidarovszky, F. & Okuguchi, K.

### 1991, Volume 1, Issue 3-4

**217-234 Rings whose multiplicative semigroups are nil-extensions of a union of groups***by*Ä†iriÄ‡, M. & BogdanoviÄ‡, S.**235-240 Permutations with restricted position and simplicial complexes***by*Kim, K.H. & Roush, F.W.**241-244 On finite subsemigroups of $\rm GLS\sb n(\bf C)$***by*Kim, K.H. & Roush, F.W.**245-250 Some remarks on $(3,3)$-commutative semigroups***by*Lajos, S.**251-254 Notes on zero-symmetric near-rings***by*Lajos, S.**255-256 Correction to: ``A commutativity theorem for one-sided $s$-unital rings''***by*Abujabal, H.A.S., Khan, M.A. & Khan, M.S.**257-257 Errata to: ``Near-rings with left and right self-distributive multiplication'' [Pure Math.\ Appl.\ Ser.\ A \bf 1 (1990), no.\ 2, 117--127; MR1095009 (92a:16050)]***by*Benini, A. & Pellegrini, S.**263-273 To the memory of Professor IstvÃ¡n PeÃ¡k***by*BagyinszkinÃ©-Orosz, A., HorvÃ¡th, S. & HunyadvÃ¡ri, L.**275-286 On the simplicity of cyclic Mealy-automata***by*BabcsÃ¡nyi, I.**287-297 Relations between classes of languages accepted by standard generalized homogeneous super-nets***by*BagyinszkinÃ©-Orosz, A. & Bagyinszki, J.**299-315 Translations of relation schemes and representations of closed sets***by*Demetrovics, J. & Huy, N.X.**317-324 Computation and simulation on finite networks of automata***by*DÃ¶mÃ¶si, P. & KovÃ¡cs, B.**325-327 $q$-morphisms and QDOL systems***by*Ito, M. & Thierrin, G.**329-336 Minimal context in regenerative $IL$-systems***by*KelemenovÃ¡, A.**337-342 An application of fuzzy graphs in database theory***by*Kiss, A.**343-355 Dead word languages and adult languages***by*Kudlek, M.**357-361 New insights to the relationship among some special complexity classes***by*Lischke, G.**363-367 Dependencies in knowledge- and relational databases***by*MÃ¡rkus, T.**369-374 A temporal logic specification of a transaction management system***by*RÃ¡cz, Ã‰. & Kozma, L.

### 1990, Volume 1, Issue 4

**203-230 On the automorphism groups of subshifts***by*Kim, K.H. & Roush, F.W.**221-230 On feedback universality of discrete systems***by*SolÃ©, L.**231-239 On the existence and uniqueness of equilibrium in Cournot oligopoly with product differentiation***by*Szidarovszky, F. & Okuguchi, K.**231-267 The methods of exploratory factor analysis***by*FÃ¼stÃ¶s, L.**241-249 Viability theorems with convex and weakly compact right-hand side***by*KÃ¡nnai, Z.**251-256 Full shifts over $\bf R\sp +$ and invariant tetrahedra***by*Kim, K.H. & Roush, F.W.**257-278 Adaptive and extrapolative expectations in a producer-consumer multiple market***by*MolnÃ¡r, S., Szidarovszky, F. & Lengyel, L.**299-310 State-space description of certain discrete-event systems***by*SolÃ©, L.

### 1990, Volume 1, Issue 2-3

**73-83 Continuity of bargaining solutions defined with respect to a criterion***by*Lahiri, S.**85-98 On coded structures***by*SzÃ©p, J., Lugosi, E. & SzÃ©p, I.J.**87-95 A Bayesian approach for updating weights of criteria for multicriteria decision problems***by*ForgÃ³, F. & Schick, G.J.**99-107 Block-$M$-matrices and their properties***by*Liu, D. & Szidarovszky, F.**105-126 Measurement of the reliability of projected data***by*Matits, Ã .**109-114 A general scheme for matrices with nonnegative inverses***by*Szidarovszky, F. & Okuguchi, K.**115-121 On stable adaptive control systems***by*Szidarovszky, F., Bahill, T.A. & MolnÃ¡r, S.**123-141 Sliding mode control of nonlinear first-order distributed parameter systems***by*Sira-Ramirez, H. & Rivero Mendoza, J.**143-160 Topologies on the collection of closed subsets of a Banach space***by*Dancs, S.**161-167 On the stability problems of first order partial differential equations***by*Szigeti, F.**169-178 On the product of exponentials as solutions of first order linear partial differential equations***by*Szigeti, F.**179-183 Morrey's inequality on the fractional Sobolev space***by*Merentes, N.**185-188 An equation for families of relations***by*Mala, J.**189-202 Vectorized ABS conjugate direction algorithms on the IBM 3090 VF***by*Abaffy, J. & Bertocchi, M.

### 1990, Volume 1, Issue 1

**3-15 Multiproduct Cournot oligopolies with market saturation***by*Szidarovszky, F.**5-9 Hamilton-circuits in finite graphs***by*CorrÃ¡di, K.**5-25 Risk taking: a new approach***by*MikÃ³, G.**11-19 Products of automata and homomorphic simulation***by*DÃ¶mÃ¶si, P.**17-23 Cournot equilibrium and joint profit maximizing prices in multi-product oligopolies***by*Szidarovszky, F.**21-28 A remark on a result by A. Thue***by*Inglese, G. & Pirillo, G.**25-38 Viability theorems in Banach spaces***by*KÃ¡nnai, Z. & SzabÃ³, I.**29-32 Finitely generated semigroups and the problem of Burnside***by*Migliorini, F. & SzÃ©p, J.**33-37 On finitely generated semigroups with permutation property***by*Migliorini, F. & SzÃ©p, J.**39-44 Semigroups with periodic generators***by*Migliorini, F. & SzÃ©p, J.**39-45 Composition of functions of bounded $\overset\rightarrow\to p$-variation***by*Merentes, N.**45-48 A finiteness condition for semigroups generated by a finite set of elements of finite order***by*Justin, J. & Pirillo, G.**47-55 Extrapolative expectations in an oligopoly with multi-product firms***by*Szidarovszky, F. & Okuguchi, K.