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http://dx.doi.org/10.5831/HMJ.2013.35.3.381

A NOTE ON FULLY IDEMPOTENT S-ACTS

Roueentan, Mohammad (Department of Mathematics, College of Science, Shiraz University)
Ershad, Majid (Department of Mathematics, College of Science, Shiraz University)

Publication Information

Honam Mathematical Journal / v.35, no.3, 2013 , pp. 381-388 More about this Journal

Abstract

In this article we introduce the notion of fully idempotent acts and by this we give a characterization of commutative monoids over which all cyclic right acts are injective.

Keywords

idempotent; fully idempotent; right S-act;

Citations & Related Records

Reference

1	M. Kilp, U. Knauer and A. V. Mikhalev, Monoids, Acts and Categories, With Application to Wreath Product, Berlin; New York, 2000.
2	X. Zhang, U. Knauer and Y. Chen, Classification of monoids by injectivities I. C-injectivity, Semigroup Forum, 76 (2008), 169-176. DOI