[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2004.19.1.001

ON THE SEMIATOMICITY FOR COMPLETELY RIGHT INJECTIVE SEMIGROUPS

Moon, Eun-Ho (Center for Liberal Arts ＆ Instructional Development Myongji University)

Publication Information

Communications of the Korean Mathematical Society / v.19, no.1, 2004 , pp. 1-10 More about this Journal

Abstract

We here consider necessary and sufficient conditions for a completely right injective semigroup S whose lattice Ｌ(S) of right congruences on S is semiatomic. These are preceded by a number of results on the characterization of a semigroup S in which every automaton over S is injective(called a completely right injective semigroup).

Keywords

injective S-automaton; completely right injective semigroup; semiatomic; essential right congruence;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

1	Completely injective semigroup with central idempotents / [ E.H.Feller;T.L.Gantos ] / Glasgow Math. J. DOI
2	Completely right projective semigroups / [ E.H.L.Moon ] / J. KSME 과학기술학회마을
3	Algbraic theory of semigroups / [ A.H.Clifford;G.B.Preston ] / Math. Surveys
4	On the semiatomicity for semigroups / [ R.H.Oehmke ] / Algebras Groups Geom
5	Semigroup shose lattices of right congruences are semiatimic / [ R.H.Oehmke ] / Comm. Algebra DOI ScienceOn
6	/ [ J.M.Howie ] / Am introduction to semigroup theory
7	On minimal right congruences of a semigroup / [ R.H.Oehmke ] / Tamkang J. Math
8	On essential right congruences of semigroup / [ R.H.Oehmke ] / Acta Math. Hung DOI