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|Title:||The idempotent-separating degree of a block-group|
|Authors:||Fernandes, Vítor H.|
|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|
|Appears in Collections:||FCT: DM - Artigos em revista internacional com arbitragem científica|
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