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
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.