A simplification of D'Alarcao's idempotent separating extensions of inverse semigroups

In [2] D'Alarcao states necessary and sufficient conditions for the attainment of an idempotent-separating extension of an inverse semigroup. To do this D'Alarcao needed essentially three mappings satisfying thirteen conditions. In this paper we show that one can achieve the same results w...

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Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences
Main Author: Constance C. Edwards
Format: Article
Language:English
Published: Wiley 1978-01-01
Subjects:
inverse semigroup and idempotent-separating extension.
Online Access:http://dx.doi.org/10.1155/S0161171278000393
Description
Summary:In [2] D'Alarcao states necessary and sufficient conditions for the attainment of an idempotent-separating extension of an inverse semigroup. To do this D'Alarcao needed essentially three mappings satisfying thirteen conditions. In this paper we show that one can achieve the same results with two mappings satisfying eight conditions.
ISSN:0161-1712
1687-0425

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