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n-Fold Boolean, Implicative and Integral Ideals on Bounded Commutative Residuated Lattices

Author

Listed:
  • Fabrice Tchoua Yinga

    (Department of Mathematics and Computer Science, University of Dschang, P.O. Box 67, Dschang, Cameroon)

  • Blaise B. Koguep Njionou

    (Department of Mathematics and Computer Science, University of Dschang, P.O. Box 67, Dschang, Cameroon)

  • Etienne R. Temgoua Alomo

    (#x2020;Department of Mathematics, École Normale Supérieure de Yaoundé, University of Yaoundé 1, P.O. Box 47, Yaoundé, Cameroon)

  • Celestin Lele

    (Department of Mathematics and Computer Science, University of Dschang, P.O. Box 67, Dschang, Cameroon)

Abstract

In this paper, we introduce the concepts of n-fold boolean ideals, n-fold implicative ideals and n-fold integral ideals in residuated lattices and we state and prove their properties. Several characterizations of these notions are derived and the relations between those notions are investigated. Also, we construct the correspondence between the notions of n-fold ideal and n-fold filter in residuated lattices.

Suggested Citation

  • Fabrice Tchoua Yinga & Blaise B. Koguep Njionou & Etienne R. Temgoua Alomo & Celestin Lele, 2019. "n-Fold Boolean, Implicative and Integral Ideals on Bounded Commutative Residuated Lattices," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 427-445, November.
    • Handle: RePEc:wsi:nmncxx:v:15:y:2019:i:03:n:s1793005719500248
    DOI: 10.1142/S1793005719500248
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