Gorenstein flat-cotorsion modules over trivial ring extensions

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Abstract

Let Formula: see text be a trivial extension of a ring Formula: see text by an Formula: see text-Formula: see text-bimodule Formula: see text. Sufficient and necessary conditions are established for Gorenstein flat-cotorsion modules over Formula: see text. More precisely, it is proved that under some assumptions Formula: see text is a Gorenstein flat-cotorsion left Formula: see text-module if and only if CokerFormula: see text is a Gorenstein flat-cotorsion left Formula: see text-module and the sequence Formula: see text is exact. As applications, it is characterized Gorenstein flat-cotorsion modules over Morita rings with zero bimodule homomorphisms.

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Wang et al. (Tue,) studied this question.

synapsesocial.com/papers/68e5ac8db6db643587546562 https://doi.org/https://doi.org/10.1142/s0219498826500179

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