The baer criterion for acts over semigroups

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Tarih

2009

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Yayıncı

Maltepe Üniversitesi

Erişim Hakkı

CC0 1.0 Universal
info:eu-repo/semantics/openAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

It is known that although the Baer Criterion for injectivity holds for modules over rings with unit, it is not true for acts over an arbitrary monoid. Recently, the present author, together with M. Ebrahimi and M. Mahmoudi, published a paper (Comm. Algebra 35 (2007), 3912-3918) giving for the acts over some classes of semigroups, the Baer Criterion is true. In this paper we find another classes of monoids such that for acts over them the Baer Criterion hold. We also construct injective hull of separated acts over another classes of semigroups. Finally we charactrize the subdirectly irreducible of acts over some classes of semigroups.

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Kaynak

International Conference of Mathematical Sciences

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Künye

Moghaddasi, G. (2009). The baer criterion for acts over semigroups. Maltepe Üniversitesi. s. 166.