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.
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© 1987 D. Reidel Publishing Company
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Petrich, M. (1987). Cayley Theorems for Semigroups. In: Goberstein, S.M., Higgins, P.M. (eds) Semigroups and Their Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3839-7_17
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DOI: https://doi.org/10.1007/978-94-009-3839-7_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8209-9
Online ISBN: 978-94-009-3839-7
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