×

A note on non-commutative semigroups. (English) Zbl 0566.20047

The authors define the concepts of upper and lower isolated component ideals in non-commutative semigroups. The theory of these ideals in semigroups is a version of the same theory for non-commutative rings, cf. D. C. Murdoch [Can. J. Math. 4, 43-57 (1952; Zbl 0048.262)]. Some ideal theoretic properties of Noetherian semigroups are also studied.
Reviewer: S.Lajos

MSC:

20M12 Ideal theory for semigroups

Citations:

Zbl 0048.262
PDFBibTeX XMLCite
Full Text: EuDML