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Cayley Theorems for Semigroups

In: Semigroups and Their Applications

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  • Mario Petrich

    (Simon Fraser University, Department of Mathematics)

Abstract

Analogs of the Cayley theorem for groups are considered for various classes of semigroups. First for the class of all semigroups, then for inverse semigroups and for regular semigroups over right normal bands. A problem is proposed on the Cayley type theorems for other classes of semigroups. In particular, a step toward solving this problem for completely regular semigroups is provided by a Cayley theorem for completely simple semigroups.

Suggested Citation

  • Mario Petrich, 1987. "Cayley Theorems for Semigroups," Springer Books, in: Simon M. Goberstein & Peter M. Higgins (ed.), Semigroups and Their Applications, pages 133-138, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-3839-7_17
    DOI: 10.1007/978-94-009-3839-7_17
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