Frobenius functors and Gorenstein homological properties
XW Chen, W Ren - Journal of Algebra, 2022 - Elsevier
We prove that any faithful Frobenius functor between abelian categories preserves the
Gorenstein projective dimension of objects. Consequently, it preserves and reflects …
Gorenstein projective dimension of objects. Consequently, it preserves and reflects …
[PDF][PDF] Relative Buchweitz-Happel Theorem respect to self-orthogonal class
LİU Haiyu, G Yuxian, ZHU Rongmin - Hacettepe Journal of …, 2023 - dergipark.org.tr
Let $ R $ be a ring, $ F $ a subbifunctor of the functor Ext $^{1} _ {R}(-,-) $, $\mathcal {W} _
{F} $ a self-orthogonal class of left $ R $-modules respect to $ F $. We introduce $\mathcal …
{F} $ a self-orthogonal class of left $ R $-modules respect to $ F $. We introduce $\mathcal …