[PDF][PDF] The relative Auslander-Reiten theory of modules
CC Xi - preprint, 2005 - math0.bnu.edu.cn
Let A be an Artin algebra. As we know, the construction of the well-known Auslander-Reiten
sequence is based on the natural (A, A)-bimodule A and the induced transpose, where the …
sequence is based on the natural (A, A)-bimodule A and the induced transpose, where the …
The Auslander-Reiten translation in submodule categories
C Ringel, M Schmidmeier - Transactions of the American Mathematical …, 2008 - ams.org
Let $\Lambda $ be an artin algebra or, more generally, a locally bounded associative
algebra, and $\mathcal {S}(\Lambda) $ the category of all embeddings $(A\subseteq B) …
algebra, and $\mathcal {S}(\Lambda) $ the category of all embeddings $(A\subseteq B) …
[PDF][PDF] Left sections and the left part of an Artin algebra
I Assem - Colloq. Math, 2009 - usherbrooke.ca
Let A be an artin algebra. We are interested in studying the representation theory of A, thus
the category mod A of finitely generated right A-modules. For this purpose, we fix a full …
the category mod A of finitely generated right A-modules. For this purpose, we fix a full …
[HTML][HTML] Auslander–Reiten correspondence for tilting pairs
J Wei, C Xi - Journal of Pure and Applied Algebra, 2008 - Elsevier
Let A be an Artin algebra. A pair (C, T) of A-modules is tilting provided that C and T are
(finitely generated) self-orthogonal, T∈ addˆAC and C∈ adďAT. Particularly, T is a tilting …
(finitely generated) self-orthogonal, T∈ addˆAC and C∈ adďAT. Particularly, T is a tilting …
Cycles in module categories
A Skowroński - Finite dimensional algebras and related topics, 1994 - Springer
Let A be an artin algebra over a commutative artin ring R and mod A be the category of
finitely generated right A-modules. A cycle in mod A is a sequence of non-zero non …
finitely generated right A-modules. A cycle in mod A is a sequence of non-zero non …
[引用][C] Directing modules
A Skowroński, SO Smalø - Journal of Algebra, 1992 - Elsevier
Let A be an artin algebra. We denote by A-mod the category of finitely generated left A-
modules, by Ta the Auslander-Reiten quiver of A and by DTr the Auslander-Reiten operator …
modules, by Ta the Auslander-Reiten quiver of A and by DTr the Auslander-Reiten operator …
[HTML][HTML] Higher Auslander–Reiten sequences and t-structures
JC Arias, E Backelin - Journal of Algebra, 2016 - Elsevier
Let R be an artin algebra and C an additive subcategory of mod (R). We construct a t-
structure on the homotopy category K−(C) and argue that its heart HC is a natural domain for …
structure on the homotopy category K−(C) and argue that its heart HC is a natural domain for …
Components of Auslander-Reiten quivers with only preprojective modules
FU Coelho - Journal of Algebra, 1993 - Elsevier
with Only Preprojective Modules Page 1 JOURNAL OF ALGEBRA 157, 472–488 (1993)
Components of Auslander–Reiten Ouivers with Only Preprojective Modules FLÁVIO ULHOA …
Components of Auslander–Reiten Ouivers with Only Preprojective Modules FLÁVIO ULHOA …
Modules determined by their tops and socles
K Bongartz, SO Smalø - Proceedings of the American Mathematical Society, 1986 - ams.org
MODULES DETERMINED BY THEIR TOPS AND SOCLES Page 1 proceedings of the
american mathematical society Volume %. Number 1. lanuary 19H6 MODULES DETERMINED …
american mathematical society Volume %. Number 1. lanuary 19H6 MODULES DETERMINED …
[图书][B] Auslander-Reiten theory via Brown representability
H Krause - 1999 - Citeseer
We develop an Auslander-Reiten theory for triangulated categories which is based on
Brown's representability theorem. In a fundamental article [3], Auslander and Reiten …
Brown's representability theorem. In a fundamental article [3], Auslander and Reiten …