We study Gorenstein flat objects in the category Rep (Q, R) of representations of a left rooted
quiver Q with values in Mod (R), the category of all left R-modules, where R is an arbitrary …

Full article: The tensor product of Gorenstein-projective modules over category algebras Skip to
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To investigate cohomology theories based on flats, Asadollahi and Salarian gave the
definition of F-Gorenstein flat R-modules, and these modules are exactly Gorenstein flat …

Presilting and silting subcategories in extriangulated categories were introduced by Adachi
and Tsukamoto recently, which are generalizations of those concepts in triangulated …

We study homological and homotopical aspects of Gorenstein flat modules over a ring with
respect to a duality pair $(\mathcal {L, A}) $. These modules are defined as cycles of exact …

Acta Mathematica Sinica, English Series Page 1 Acta Mathematica Sinica, English Series
Nov., 2017, Vol. 33, No. 11, pp. 1513–1535 Published online: July 15, 2017 https://doi.org/10.1007/s10114-017-6416-8 …

In this paper, we establish some new Foxby equivalences between some Gorenstein
subcategories in the Auslander class 𝒜 C (R) and that in the Bass class ℬ C (S) in a general …

In this paper, we generalize the idea of Song, Zhao and Huang [Czechoslov. Math. J., 70,
483–504 (2020)] and introduce the notion of right (left) Gorenstein subcategory r G (C, D)(l G …

The Gorenstein derived category is introduced and studied via Verdier's localization of
homotopy category respect to the saturated multiplicative system of Gorenstein quasi …

Following the work [B. Deng, J. Du, Frobenius morphisms and representations of algebras,
Trans. Amer. Math. Soc. 358 (2006) 3591–3622], we show that a Frobenius morphism F on …