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Title: The idempotent-separating degree of a block-group
Author: Fernandes, Vítor H.
Issue Date: 2008
Publisher: Springer Verlag
Abstract: In this paper we describe the least non-negative integer n such that there exists an idempotent-separating homomorphism from a finite block-group S into the monoid of all partial transformations of a set with n elements. In particular, as for a fundamental semigroup S this number coincides with the smallest size of a set for which S can be faithfully represented by partial transformations, we obtain a generalization of Easdown’s result established for fundamental finite inverse semigroups.
Description: Semigroup Forum, nº76 (2008), pg.579-583
ISSN: 0037-1912
Appears in Collections:FCT: DM - Artigos em revista internacional com arbitragem científica

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