GORENSTEIN -PROJECTIVITY WITH RESPECT TO A TILTING MODULE
M Amini - International Electronic Journal of Algebra, 2020 - dergipark.org.tr
International Electronic Journal of Algebra, 2020•dergipark.org.tr
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.
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.
Let be a tilting module. In this paper, Gorenstein -projective modules are introduced and some of their basic properties are studied. Moreover, some characterizations of rings over which all modules are Gorenstein -projective are given. For instance, on the -cocoherent rings, it is proved that the Gorenstein -projectivity of all -modules is equivalent to the -projectivity of -injective as a module.
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