Geodesic
On $\mathcal{T}$-$\delta$-noncosingular modules
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 321-331

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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. 
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     title = {On $\mathcal{T}$-$\delta$-noncosingular modules},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {321--331},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a9/}
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Y. Talebi; M. Hosseinpour; T. C. Quynh. On $\mathcal{T}$-$\delta$-noncosingular modules. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 321-331. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a9/