Gorenstein $\pi[T]$-projectivity with respect to a tilting module

M. Amini

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arXiv · 1903.07144

Gorenstein $\pi[T]$-projectivity with respect to a tilting module

M. Amini

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Abstract

Let $T$ be a tilting module. In this paper, Gorenstein $\pi[T]$-projective modules are introduced and some of their basic properties are studied. Moreover, some characterizations of rings over which all modules are Gorenstein $\pi[T]$-projective are given. For instance, on the $T$-cocoherent rings, it is proved that the Gorenstein $\pi[T]$-projectivity of all $R$-modules is equivalent to the $\pi[T]$-projectivity of $\sigma[T]$-injective as a module.

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M. Amini. 2019-03-17. Gorenstein $\pi[T]$-projectivity with respect to a tilting module. https://arxiv.org/abs/1903.07144

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