International Journal of Mathematics and Mathematical Sciences 
Volume 1 (1978), Issue 3, Pages 393-396
doi:10.1155/S0161171278000393

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

Constance C. Edwards

 Department of Mathematical Sciences, Indiana University-Purdue University at Fort Wayne, Fort Wayne 46805, Indiana, USA
Received 29 August 1977

Abstract

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.