Representation theory of artin algebras IV1)Invariants given by almost split sequences
M Auslander, I Reiten - Communications in algebra, 1977 - Taylor & Francis
We now list some of the basic properties of almost split sequences established in [5].
Copyright 81977 by Marcel Dekker, Inc. All Rights Reserved. Neither this work nor any part …
Copyright 81977 by Marcel Dekker, Inc. All Rights Reserved. Neither this work nor any part …
The inductive step of the second Brauer-Thrall conjecture
SO Smalø - Canadian Journal of Mathematics, 1980 - cambridge.org
In this paper we are going to use a result of H. Harada and Y. Sai concerning composition of
nonisomorphisms between indecomposable modules and the theory of almost split …
nonisomorphisms between indecomposable modules and the theory of almost split …
A functorial approach to monomorphism categories II: Indecomposables
N Gao, J Külshammer, S Kvamme… - Proceedings of the …, 2024 - Wiley Online Library
We investigate the (separated) monomorphism category mono (Q, Λ) $\operatorname
{mono}(Q,\Lambda) $ of a quiver over an Artin algebra Λ $\Lambda $. We show that there …
{mono}(Q,\Lambda) $ of a quiver over an Artin algebra Λ $\Lambda $. We show that there …
Dynamical combinatorics and torsion classes
For finite semidistributive lattices the map κ gives a bijection between the sets of completely
join-irreducible elements and completely meet-irreducible elements. Here we study the κ …
join-irreducible elements and completely meet-irreducible elements. Here we study the κ …
[引用][C] The construction of almost split sequences, I
MCR Butler - Proceedings of the London Mathematical Society, 1980 - Wiley Online Library
Almost split sequences of modules were introduced and studied in the last three papers in
the series [1,..., 6] by Auslander and Reiten and, with the related simple functors and …
the series [1,..., 6] by Auslander and Reiten and, with the related simple functors and …
The numbers of support-tilting modules for a Dynkin algebra
MAA Obaid, SK Nauman, WM Fakieh… - arXiv preprint arXiv …, 2014 - arxiv.org
The Dynkin algebras are the hereditary artin algebras of finite representation type. The
paper exhibits the number of support-tilting modules for any Dynkin algebra. Since the …
paper exhibits the number of support-tilting modules for any Dynkin algebra. Since the …
The stable Auslander-Reiten components of certain monomorphism categories
R Hafezi, Y Zhang - Science China Mathematics, 2024 - Springer
Let A be an Artin algebra and let Gprj-Λ denote the class of all the finitely generated
Gorenstein projective Λ-modules. In this paper, we study the components of the stable …
Gorenstein projective Λ-modules. In this paper, we study the components of the stable …
[引用][C] On the number of almost split sequences with indecomposable middle term
H Krause - Bulletin of the London Mathematical Society, 1994 - Wiley Online Library
Let A be an artin algebra and mod A the category of finitely generated A-modules. It is well
known that almost split sequences with indecomposable middle term exist in mod A …
known that almost split sequences with indecomposable middle term exist in mod A …
Almost projective modules and almost split sequences with indecomposable middle term
R Martínez-Villa - Communications in Algebra, 1980 - Taylor & Francis
Almost projective modules and almost split sequences with indecomposable middle term Page 1
COMMUNICATIONS IN ALGEBRA, 8(12), 1123-1150 (1980) ALMOST PROJECTIVE MODULES …
COMMUNICATIONS IN ALGEBRA, 8(12), 1123-1150 (1980) ALMOST PROJECTIVE MODULES …
Relations for Grothendieck groups of Artin algebras
M Auslander - Proceedings of the American Mathematical Society, 1984 - ams.org
MCR Butler has shown that if $\Lambda $ is an artin algebra of finite representation type,
then the almost split sequences generate the relations for the Grothendieck group of …
then the almost split sequences generate the relations for the Grothendieck group of …