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http://dx.doi.org/10.5831/HMJ.2017.39.3.317

ON DIFFERENT KINDS OF INJECTIVITY OF ACTS

Naghipoor, Mohammad Ali (Department of Mathematics, Jahrom University)
Ershad, Majid (Department of Mathematics, College of Sciences, Shiraz University)
Roueentan, Mohammad (Lamerd higher education center)

Publication Information

Honam Mathematical Journal / v.39, no.3, 2017 , pp. 317-330 More about this Journal

Abstract

In this paper we introduce some new kinds of injectivities, namely, LC (resp. Ind, PInd) injectivity and investigate the relation among various kinds of injectivities. Some classifications of monoids by properties of these kinds of injective acts are presented. Among other results, it is shown that over a principal right ideal monoid, right completely LC-injectivity implies right completely injectivity. Also over a monoid with a zero Ind-injective (resp. PInd-injective) acts are injective.

Keywords

locally cyclic (weakly) injective acts; indecomposable (weakly) injective acts; C-injective acts;

Citations & Related Records

Reference

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