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Mathematical logic, algebra and number theory
On $\mathcal{T}$-$\delta$-noncosingular modules
Y. Talebia, M. Hosseinpoura, T. C. Quynhb a Department of Mathematics,
Faculty of Mathematical Sciences,
University of Mazandaran, Babolsar, Iran
b Department of Mathematics,
Danang University,
DaNang City, Vietnam
Abstract:
In this paper, we introduce and study the notion of $\mathcal{T}$-$\delta$-noncosingular modules. The aim of this paper is to present some applications. Let $R$ be a commutative ring. If $R_{R}$ is $\mathcal{T}$-$\delta$-noncosingular, we show right $R_{R}$ is nonsingular. Also we prove that any singular regular module is an $\mathcal{T}$-$\delta$-noncosingular module.
Keywords:
$\mathcal{T}$-$\delta$-noncosingular module, $\delta$-lifting module.
Received March 12, 2017, published March 21, 2018
Citation:
Y. Talebi, M. Hosseinpour, T. C. Quynh, “On $\mathcal{T}$-$\delta$-noncosingular modules”, Sib. Èlektron. Mat. Izv., 15 (2018), 321–331
Linking options:
https://www.mathnet.ru/eng/semr920 https://www.mathnet.ru/eng/semr/v15/p321
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Abstract page: | 221 | Full-text PDF : | 55 | References: | 36 |
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