We establish relations between Frobenius parts and between flat-dominant dimensions of
algebras linked by Frobenius bimodules. This is motivated by the Nakayama conjecture and …

In this paper, we provide a new method to produce stable equivalences of Morita type. Our
main results can be stated as follows. Let A and B be two finite‐dimensional k‐algebras over …

In this paper we define a class of stable equivalences, namely, the stable equivalences of
adjoint type, and study the Hochschild cohomology groups of algebras that are linked by a …

We introduce the so-called homological systems in a module category over a pre-ordered
set, which generalize the notion of a stratifying system over a linearly ordered set, and study …

In this paper, we present two methods, induction and restriction procedures, to construct new
stable equivalences of Morita type. Suppose that a stable equivalence of Morita type …

The aim of this paper is to give a unification of the theory of (co) tilting modules and (higher)
Auslander correspondence by using faithfully balanced modules (ie, faithful modules with …

设∧ 是一个Artin 代数,∧-mod 表示有限生成的左∧-模范畴, 所有投射维数有限的∧-模做成的∧-
mod 的满子范畴记为Y^∞(∧). 设T∈∧—mod, D (T)={Y∈∧-mod| 存在一个正合序列…→ …

We introduce the notion of relative singularity category with respect to any self-orthogonal
subcategory $\omega $ of an abelian category. We introduce the Frobenius category of …

Chinese Annals of Mathematics, Series B The Relative Transpose over Cohen-Macaulay
Finite Artin Algebras∗∗ Page 1 Chin. Ann. Math. 30B(3), 2009, 231–238 DOI: 10.1007/s11401-008-0227-2 …

Let A be a small abelian category. For a closed subbifunctor F of Ext A 1 (−,−), Buan has
generalized the construction of Verdier's quotient category to get a relative derived category …