(m, n)-Coherent Modules and (m, n)-Semihereditary Modules

W Dang, LIU Zhong-kui - Journal of Southwest China Normal …, 2021 - xbgjxt.swu.edu.cn
In this paper, the concepts of (m, n)-coherent modules and (m, n)-semihereditary modules
are given by analogy to the concepts and properties of coherent modules,(m, n)-coherent …

(n, d)-Injective covers, n-coherent rings, and (n, d)-rings

W Li, B Ouyang - Czechoslovak Mathematical Journal, 2014 - Springer
It is known that a ring R is left Noetherian if and only if every left R-module has an injective
(pre) cover. We show that (1) if R is a right n-coherent ring, then every right R-module has an …

[PDF][PDF] On n-Copresented Modules and n-Co-Coherent Rings

D Bennis, H Bouzraa, AQ Kaed - International Electronic Journal of …, 2012 - dergipark.org.tr
ON n-COPRESENTED MODULES AND n-CO-COHERENT RINGS Driss Bennis, Habib Bouzraa
and Abdul-Qawe Kaed 1. Introduction Throughout this Page 1 International Electronic Journal of …

I-n-Coherent Rings, I-n-Semihereditary Rings, and I-Regular Rings

Z Zhanmin - Ukrainian Mathematical Journal, 2014 - Springer
Let R be a ring, let I be an ideal of R, and let n be a fixed positive integer. We define and
study In-injective modules and In-flat modules. Moreover, we define and study left In …

On co-semihereditary rings

W Xue - Science in China Series A: Mathematics, 1997 - Springer
A ring R is left co-semihereditary (strongly left co-semihereditary) if every finitely
cogenerated factor of a finitely cogenerated (arbitrary) injective left R-module is injective. A …

[PDF][PDF] A generalization of -rings

Y Durğun - Ege Uni. J. of Faculty of Sci, 2013 - Citeseer
Let R be a ring and be a class of right R-modules which is closed under submodules,
quotients and isomorphisms. A right R-module M is called-injective if for every T. A ring R is …

n-Copure projective modules

Z Gao - Mathematical Notes, 2015 - Springer
Let R be a ring, na fixed nonnegative integer and F n the class of all left R-modules of flat
dimension at most n. A left R-module M is called n-copure projective if Ext R 1 (M, F)= 0 for …

[引用][C] Cofinitely generated and cofinitely related modules

VA Hiremath - Acta Mathematica Hungarica, 1982 - akjournals.com
P. VAMOS [11] has defned and studied'finitely embedded modules' as the dual of'finitely
generated modules'. JANS [4] called them as co finitely generated modules and defined a …

Relative subcopure-injective modules

Y ALAGÖZ - Communications Faculty of Sciences University of …, 2020 - dergipark.org.tr
In this paper, copure-injective modules is examined from an alternative perspective. For two
modules A and B, A is called B-subcopure-injective if for every copure monomorphism f: B→ …

Completely integrally closed modules and rings

AA Tuganbaev - Journal of Mathematical Sciences, 2010 - Springer
A ring A is a completely integrally closed right A-module if and only if the maximal right ring
of quotients Q max (A) of A is an injective right A-module and A is a right completely …