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arXiv · 1211.3874

t-Dual Baer Modules and t-Lifting Modules

Tayyebeh Amouzegar·Derya Keskin Tütüncü·Yahya Talebi
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Abstract

We introduce the notions of t-lifting modules and t-dual Baer modules, which are generalizations of lifting modules. It is shown that an amply supplemented module $M$ is t-lifting if and only if $M$ is t-dual Baer and a t-$\mathcal{K}$-module. We also prove that, over a right perfect ring $R$, every noncosingular $R$-module is injective if and only if every $R$-module is t-dual Baer if and only if every $R$-module is t-lifting if and only if every injective $R$-module is t-lifting.

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BibTeXRIS

Tayyebeh Amouzegar, Derya Keskin Tütüncü, Yahya Talebi. 2012-11-16. t-Dual Baer Modules and t-Lifting Modules. https://arxiv.org/abs/1211.3874

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