Author:
Feller E. H.,Gantos R. L.
Abstract
A right [left] unitary S-system is a set M with right [left] operators in a semigroup S with 1, where x1 = x [1x = x] for all x ∈ M. We define a semigroup S with 1 to be completely right [left] injective provided that every right [left] unitary S-system is injective. The main purpose of this paper is to determine a structure for completely right [left] injective semigroups whose idempotents are in the centre.
Publisher
Cambridge University Press (CUP)
Reference3 articles.
1. The Injective Envelope of S-Sets
2. 3. Feller E. H. and Gantos R. L. , Indecomposable and injective S-systems; to appear in Math. Nachr.
Cited by
10 articles.
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