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Idempotent-Separating Extensions Of Inverse Semigroups
Journal of the Australian Mathematical Society
Extensions of semigroups have been studied from two points of view; ideal extensions and Schreier extension. In this paper another type of extension is considered for the class of inverse semigroups. The main result (Theorem 2) is stated in the form of the classical treatment of Schreier extensions (see e.g.  ). The motivation for the definition of idempotentseparating extension comes primarily from G. B. Preston's concept of a normal set of subsets of a semigroup  . The characterizationdoi:10.1017/s1446788700005784 fatcat:5h5hdrgswbg55jrhquol7xixa4