[PDF][PDF] Almost Projective Modules over Artin Algebras

JS Park - Journal of the Chungcheong Mathematical Society, 1988 - ccms.or.kr
Almost Projective Modules over Artin Algebras Page 1 JOURNAL, OF THE CHUNG CHE
ONG MATHEMATICAL, SOCIETY Volume 1, June 1988 Almost Projective Modules over Artin …

Exact categories, big Cohen-Macaulay modules and finite representation type

C Psaroudakis, W Rump - Journal of Pure and Applied Algebra, 2022 - Elsevier
One of the first remarkable results in the representation theory of artin algebras, due to
Auslander and Ringel-Tachikawa, is the characterisation of when an artin algebra is …

On algebras stably equivalent to an hereditary artin algebra

MI Platzeck - Canadian Journal of Mathematics, 1978 - cambridge.org
Let Λ be an artin algebra, that is, an artin ring that is a finitely generated module over its
center C which is also an artin ring. We denote by mod Λ the category of finitely generated …

Preprojective modules and Auslander-Reiten components

S Liu - Communications in Algebra, 2003 - Taylor & Francis
Abstract Auslander and Smalø (Auslander, M., Smalø, SO (1980). Preprojective modules
over artin algebras. J. Algebra 66: 61–122) introduced and studied extensively preprojective …

Pure semisimple n-cluster tilting subcategories

R Ebrahimi, A Nasr-Isfahani - Journal of Algebra, 2020 - Elsevier
From the viewpoint of higher homological algebra, we introduce pure semisimple n-abelian
categories, which are analogs of pure semisimple abelian categories. Let Λ be an Artin …

Classification of modules not lying on short chains

A Jaworska, P Malicki, A Skowroński - arXiv preprint arXiv:1112.3464, 2011 - arxiv.org
arXiv:1112.3464v1 [math.RT] 15 Dec 2011 Page 1 arXiv:1112.3464v1 [math.RT] 15 Dec 2011
CLASSIFICATION OF MODULES NOT LYING ON SHORT CHAINS ALICJA JAWORSKA, PIOTR …

[PDF][PDF] Serre duality for Artin-Schelter regular K-categories

R Martınez-Villa, Ø Solberg - Int. J. Algebra, 2009 - m-hikari.com
In this paper we continue the study of Artin Schelter regular categories, initiated by the
authors in [7],[8], having in mind applications to the representation theory of finite …

Auslander-type conditions and cotorsion pairs

Z Huang, O Iyama - Journal of Algebra, 2007 - Elsevier
Auslander-type conditions and cotorsion pairs Page 1 Journal of Algebra 318 (2007) 93–110
www.elsevier.com/locate/jalgebra Auslander-type conditions and cotorsion pairs Zhaoyong …

Note on trivial extensions of artin algebras

T Wakamatsu - Communications in Algebra, 1984 - Taylor & Francis
Let A be an artin algebra over a commutative artin ring R, D the self-duality functor of a
category of finitely generated A-modules defined by D (X)= HornR (X, E (R/R~~(R)) 1, where …

Tilting theory and functor categories III. The Maps Category

R Martínez-Villa, M Ortiz-Morales - arXiv preprint arXiv:1101.4241, 2011 - arxiv.org
In this paper we continue the project of generalizing tilting theory to the category of
contravariant functors $ Mod (C) $, from a skeletally small preadditive category $ C $ to the …