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| Título | The idempotent-separating degree of a block-group |
| Publication Type | Unpublished |
| Year of Publication | 2007 |
| Authors | Fernandes VH |
| Series Title | Preprint |
| 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. |
| URL | http://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2007/13_07.pdf |