Completely injective semigroups with central idempotents
- 1 January 1969
- journal article
- research article
- Published by Cambridge University Press (CUP) in Glasgow Mathematical Journal
- Vol. 10 (1) , 16-20
- https://doi.org/10.1017/s0017089500000471
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.Keywords
This publication has 1 reference indexed in Scilit:
- The Injective Envelope of S-SetsCanadian Mathematical Bulletin, 1967