[图书][B] Foundations of module and ring theory
R Wisbauer - 2018 - taylorfrancis.com
This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful and …
ring theory, including original results as well as the most recent work. It is a useful and …
Torsion and torsion-free classes from objects of finite type in Grothendieck categories
D Bravo, S Odabaşı, CE Parra, MA Pérez - Journal of Algebra, 2022 - Elsevier
In an arbitrary Grothendieck category, we find necessary and sufficient conditions for the
class of FP n-injective objects to be a torsion class. By doing so, we propose a notion of n …
class of FP n-injective objects to be a torsion class. By doing so, we propose a notion of n …
Infinite comatrix corings
L El Kaoutit, J Gómez-Torrecillas - International Mathematics …, 2004 - ieeexplore.ieee.org
We characterize the corings whose category of comodules has a generating set of small
projective comodules in terms of the (noncommutative) descent theory. In order to extricate …
projective comodules in terms of the (noncommutative) descent theory. In order to extricate …
Functorial filtrations for semiperfect generalisations of gentle algebras
RJM Bennett-Tennenhaus - 2017 - etheses.whiterose.ac.uk
In this thesis we introduce a class of semiperfect rings which generalise the class of finite-
dimensional gentle algebras. We consider complexes of modules over these rings which …
dimensional gentle algebras. We consider complexes of modules over these rings which …
Locally finitely presented Grothendieck categories and the pure semisimplicity conjecture
Z Fazelpour, A Nasr-Isfahani - arXiv preprint arXiv:2401.07008, 2024 - arxiv.org
In this paper, we investigate locally finitely presented pure semisimple (hereditary)
Grothendieck categories. We show that every locally finitely presented pure semisimple …
Grothendieck categories. We show that every locally finitely presented pure semisimple …
On Morita duality for additive group valued functors
K Yamagata - Communications in Algebra, 1979 - Taylor & Francis
Let M and N be cocomplete abelian categories with generating sets of small projectives. Let
m and n be full subcategories of M and N respectively which contain all small projectives …
m and n be full subcategories of M and N respectively which contain all small projectives …
Triangular Matrix Categories I: Dualizing Varieties and generalized one-point extension
A León-Galeana, M Ortiz-Morales… - arXiv preprint arXiv …, 2019 - arxiv.org
Following Mitchell's philosophy, in this paper we define the analogous of the triangular
matrix algebra to the context of rings with several objects. Given two additive categories …
matrix algebra to the context of rings with several objects. Given two additive categories …
[HTML][HTML] Corner replacement for Morita contexts
R Bennett-Tennenhaus - Linear Algebra and its Applications, 2024 - Elsevier
We consider how Morita equivalences are compatible with the notion of a corner subring.
Namely, we outline a canonical way to replace a corner subring of a given ring with one …
Namely, we outline a canonical way to replace a corner subring of a given ring with one …
Perfect rings without identity
PN Ánh, NV Loi, DV Thanh - Communications in Algebra, 1991 - Taylor & Francis
Perfect rings without identity Page 1 COMMUNICATIONS IN ALGEBRA, 19(4), 1069-1082 (1991)
PERFECT RINGS WITHOUT IDENTITY PN ~ nh , N. V. Loi and DV Thanh* Mathematical …
PERFECT RINGS WITHOUT IDENTITY PN ~ nh , N. V. Loi and DV Thanh* Mathematical …
Triangular Matrix Categories I: Dualizing Varieties and Generalized One-point Extensions
AL Galeana, MO Morales, VS Vargas - Algebras and Representation …, 2023 - Springer
Following Mitchell's philosophy, in this paper we define the analogous of the triangular
matrix algebra to the context of rings with several objects. Given two preadditive categories …
matrix algebra to the context of rings with several objects. Given two preadditive categories …