[图书][B] Relative cotilting theory and almost complete cotilting modules

AB Buan, Ø Solberg - 1997 - folk.ntnu.no
Relative cotilting modules and their connection to ordinary cotilting modules were first
studied by Auslander and Solberg in [6] and [7]. Among other things, they show that relative …

Exact categories and vector space categories

P Dräxler, I Reiten, S Smalø, Ø Solberg… - Transactions of the …, 1999 - ams.org
In a series of papers additive subbifunctors $ F $ of the bifunctor $\operatorname {Ext} _
{\Lambda}(,) $ are studied in order to establish a relative homology theory for an artin …

Auslander's formula and correspondence for exact categories

R Henrard, S Kvamme, AC Van Roosmalen - Advances in Mathematics, 2022 - Elsevier
The Auslander correspondence is a fundamental result in Auslander-Reiten theory. In this
paper we introduce the category mo d adm (E) of admissibly finitely presented functors and …

Tilting theory in exact categories

J Sauter - arXiv preprint arXiv:2208.06381, 2022 - arxiv.org
We define tilting subcategories in arbitrary exact categories to archieve the following. Firstly:
Unify existing definitions of tilting subcategories to arbitrary exact categories. Discuss …

[HTML][HTML] 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 …

[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 …

Wide coreflective subcategories and torsion pairs

LA Hügel, F Sentieri - arXiv preprint arXiv:2304.00845, 2023 - arxiv.org
We revisit a construction of wide subcategories going back to work of Ingalls and Thomas.
To a torsion pair in the category $ R\operatorname {-}\operatorname {mod} $ of finitely …

Complements and the generalized Nakayama conjecture

D Happel, L Unger - CMS Conf. Proc, 1998 - books.google.com
There exists a hierachy of homological conjectures for finitely generated modules over an
Artin algebra A. The generalized Nakayama conjecture for example states that each …

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) …

[PDF][PDF] On projectivity in locally presentable categories

J Rosický - Journal of Algebra, 2004 - core.ac.uk
On projectivity in locally presentable categories Page 1 Journal of Algebra 272 (2004) 701–710
www.elsevier.com/locate/jalgebra On projectivity in locally presentable categories J …