Coherence relative to a weak torsion class

Z Zhu - Czechoslovak Mathematical Journal, 2018 - Springer
Let R be a ring. A subclass T of left R-modules is called a weak torsion class if it is closed
under homomorphic images and extensions. Let T be a weak torsion class of left R-modules …

Relatively endocoherent modules

L Mao - Algebra Colloquium, 2007 - World Scientific
Relatively Endocoherent Modules Page 1 Algebra Colloquium c© 2007 AMSS CAS & SUZHOU
UNIV Algebra Colloquium 14 : 2 (2007) 327–340 Relatively Endocoherent Modules∗ Lixin Mao …

On relative coherence and applications

N Rodríguez Conzález - Communications in Algebra, 1993 - Taylor & Francis
Coherent rings relative to (hereditary) torsion theories have been studied in several papers.
The characterization, given by Cateforis I41, of nonsingular rings with flat maximal quotient …

On flatness relative to a torsion theory

RW Miller, ML Teply - Communications in Algebra, 1978 - Taylor & Francis
Let R be a ring with identity. As in [I],[XI, and [= I, a class T of leftd (or right) R-modules is
called a torsion class if it is closed under direct sums, homomorphic images, and extensions …

Modules with unique closure relative to a torsion theory II

S Doğruöz, A Harmanci… - Turkish Journal of …, 2009 - journals.tubitak.gov.tr
Modules With Unique Closure Relative to a Torsion Theory II Page 1 Turkish Journal of
Mathematics Volume 33 Number 2 Article 2 1-1-2009 Modules With Unique Closure Relative …

[PDF][PDF] Weak -injective and weak -fat modules

A Umamaheswaran, R Saravanan… - Czechoslovak …, 2022 - researchgate.net
In this paper, we introduce and study the concepts of weak n-injective and weak n-flat
modules in terms of super finitely presented modules whose projective dimension is at most …

On n-Coherent rings

J Chen, N Ding - Communications in Algebra, 1996 - Taylor & Francis
Recently, Costa [4] introduced the concept of n-coherent rings. In this note we shall give
some further properties of n-coherent rings. Let R be a ring and na nonnegative integer …

Weak n-injective and weak n-fat modules

U Arunachalam, S Raja, S Chelliah… - Czechoslovak …, 2022 - Springer
We introduce and study the concepts of weak n-injective and weak n-flat modules in terms of
super finitely presented modules whose projective dimension is at most n, which generalize …

On rings with trivial torsion parts

L Bican, P Jambor, T Kepka, P Němec - Bulletin of the Australian …, 1973 - cambridge.org
On rings with trivial torsion parts Page 1 BULL. AUSTRAL. MATH. SOC. I8A40 VOL. 9 (1973),
275-290. (I6AI2 ' 16A32) On rings with trivial torsion parts L. Bican, P. Jambor, T. Kepka, P …

[HTML][HTML] Finiteness conditions and cotorsion pairs

D Bravo, MA Pérez - Journal of Pure and Applied Algebra, 2017 - Elsevier
We study the interplay between the notions of n-coherent rings and finitely n-presented
modules, and also study the relative homological algebra associated to them. We show that …