An Approach to Baer Criteria of Injectivity Versus Ideal Injectivity

Hasan Barzegar

International Journal of Mathematics and Mathematical Sciences, 2026, vol. 2026, 1-8

Abstract: This paper aims to investigate the Baer-type criteria for the injectivity of S-acts. Unlike modules over rings, where the Baer criterion for injectivity is valid, this criterion remains an open problem for acts over semigroups. Every injective S-act is ideal injective, but the converse does not hold in general. Here, we provide some conditions under which every ideal injective S-act is injective. ∗

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:2339273

DOI: 10.1155/ijmm/2339273

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