Gorenstein π[T]-projectivity with respect to a tilting module

2019/03/17 by Morteza Amini, Amini, M.
Mathematics · #Algebraic structures and combinatorial models #Rings, Modules, and Algebras #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.1903.07144

Abstract

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

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