Power Semigroups and Related Varieties of Finite Semigroups

J. E. Pin
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J. E. Pin: C.N.R.S, L.I.T.P. Université Paris VI

A chapter in Semigroups and Their Applications, 1987, pp 139-152 from Springer

Abstract: Abstract As the title suggests, all semigroups considered in this paper will be finite. Let S be a semigroup. The power semigroup (or “global”) of S, P(S), is the set of all subsets of S with multiplication defined, for all X,Y ∈S by $$ XY = \{ xy|x \in X,y \in Y\} $$

Keywords: Semigroup Forum; Simple Semigroup; Finite Semigroup; Commutative Variety; Periodic Semigroup (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-3839-7_18

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DOI: 10.1007/978-94-009-3839-7_18

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