Cayley Theorems for Semigroups

Mario Petrich
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Mario Petrich: Simon Fraser University, Department of Mathematics

A chapter in Semigroups and Their Applications, 1987, pp 133-138 from Springer

Abstract: 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.

Keywords: Maximal Subgroup; Inverse Semigroup; Regular Semigroup; Regular Representation; Simple Semigroup (search for similar items in EconPapers)
Date: 1987
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DOI: 10.1007/978-94-009-3839-7_17

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