Constructions of stable equivalences of Morita type for finite‐dimensional algebras III

Y Liu, C Xi - Journal of the London Mathematical Society, 2007 - Wiley Online Library
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 …

[HTML][HTML] A note on stable equivalences of Morita type

AS Dugas, R Martínez-Villa - Journal of Pure and Applied Algebra, 2007 - Elsevier
We investigate when an exact functor F≅−⊗ ΛMΓ: mod-Λ→ mod-Γ which induces a stable
equivalence is part of a stable equivalence of Morita type. If Λ and Γ are finite dimensional …

On singular equivalences of Morita type with level and Gorenstein algebras

G Dalezios - Bulletin of the London Mathematical Society, 2021 - Wiley Online Library
Rickard proved that for certain self‐injective algebras, a stable equivalence induced from an
exact functor is a stable equivalence of Morita type, in the sense of Broué. In this paper we …

Derived equivalences and stable equivalences of Morita type, I

W Hu, C Xi - Nagoya Mathematical Journal, 2010 - cambridge.org
For self-injective algebras, Rickard proved that each derived equivalence induces a stable
equivalence of Morita type. For general algebras, it is unknown when a derived equivalence …

On stable equivalences of Morita type for finite dimensional algebras

Y Liu - Proceedings of the American Mathematical Society, 2003 - ams.org
In this paper, we assume that algebras are finite dimensional algebras with 1 over a fixed
field $ k $ and modules over an algebra are finitely generated left unitary modules. Let $ A …

[PDF][PDF] Representation type and stable equivalence of Morita type for finite dimensional algebras

H Krause - Mathematische Zeitschrift, 1998 - Citeseer
In this note we show that two finite dimensional algebras have the same representation type
if they are stably equivalent of Morita type. Stable equivalences of Morita type were …

Construction of stable equivalences of Morita type for finite-dimensional algebras I

Y Liu, C Xi - Transactions of the American Mathematical Society, 2006 - ams.org
In the representation theory of finite groups, the stable equivalence of Morita type plays an
important role. For general finite-dimensional algebras, this notion is still of particular …

Constructions of stable equivalences of Morita type for finite dimensional algebras II

Y Liu, C Xi - Mathematische Zeitschrift, 2005 - Springer
Suppose k is a field. Let A and B be two finite dimensional k-algebras such that there is a
stable equivalence of Morita type between A and B. In this paper, we prove that (1) if A and B …

Inductions and restrictions for stable equivalences of Morita type

H Chen, S Pan, C Xi - Journal of Pure and Applied Algebra, 2012 - Elsevier
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 …

[HTML][HTML] Singular equivalence and the (Fg) condition

Ø Skartsæterhagen - Journal of Algebra, 2016 - Elsevier
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