1-torsion of finite modules over semiperfect rings

A Martsinkovsky - Journal of Algebra, 2010 - Elsevier
We initiate the study of 1-torsion of finite modules over two-sided noetherian semiperfect
rings. In particular, we give a criterion for determining when the 1-torsion submodule …

Periodic modules and acyclic complexes

S Bazzoni, M Cortés-Izurdiaga, S Estrada - Algebras and Representation …, 2020 - Springer
We study the behaviour of modules M that fit into a short exact sequence 0→ M→ C→ M→ 0,
where C belongs to a class of modules CC, the so-called C C-periodic modules. We find a …

[PDF][PDF] Covers, envelopes and cotorsion theories

J Trlifaj - Lecture notes, Cortona workshop, 2000 - matematika.cuni.cz
Module theory provides a general framework for the study of linear representations of
various mathematical objects. For example, given a field K, representations of a quiver Q …

All tilting modules are of countable type

J Šťovíček, J Trlifaj - Bulletin of the London Mathematical …, 2007 - Wiley Online Library
Let R be a ring and T an (infinitely generated) tilting module. Then T is of countable type; that
is, there is a set, 𝒞, of modules possessing a projective resolution consisting of countably …

Torsion pairs over n-hereditary rings

D Bravo, CE Parra - Communications in Algebra, 2019 - Taylor & Francis
We study the notions of n-hereditary rings and its connection to the classes of finitely n-
presented modules, FP n-injective modules, FP n-flat modules and n-coherent rings. We …

Co-support and coartinian modules

TT Nam - Algebra Colloquium, 2008 - World Scientific
We show that for a linearly compact module over a local ring (R, 𝔪), the concept of co-
support of modules provided by Melkersson is equivalent with Yassemi's concept. We also …

[HTML][HTML] Very flat, locally very flat, and contraadjusted modules

A Slávik, J Trlifaj - Journal of Pure and Applied Algebra, 2016 - Elsevier
Very flat and contraadjusted modules naturally arise in algebraic geometry in the study of
contraherent cosheaves over schemes. Here, we investigate the structure and …

On the subcategories of n-torsionfree modules and related modules

S Dey, R Takahashi - Collectanea Mathematica, 2023 - Springer
Let R be a commutative noetherian ring. Denote by mod\, R mod R the category of finitely
generated R-modules. In this paper, we study n-torsionfree modules in the sense of …

[PDF][PDF] On large selforthogonal modules

G D'Este - Commentationes Mathematicae Universitatis Carolinae, 2006 - dml.cz
Commentationes Mathematicae Universitatis Carolinae Page 1 Commentationes Mathematicae
Universitatis Carolinae Gabriella D'Este On large selforthogonal modules Commentationes …

Flat modules over commutative Noetherian rings

WV Vasconcelos - Transactions of the American Mathematical Society, 1970 - ams.org
In this work we study flat modules over commutative noetherian rings under two kinds of
restriction: that the modules are either submodules of free modules or that they have finite …