[HTML][HTML] Almost uniserial rings and modules
M Behboodi, S Roointan-Isfahani - Journal of Algebra, 2016 - Elsevier
We study the class of almost uniserial rings as a straightforward common generalization of
left uniserial rings and left principal ideal domains. A ring R is called almost left uniserial if …
left uniserial rings and left principal ideal domains. A ring R is called almost left uniserial if …
JCP-injective rings
W Junchao - International Electronic Journal of Algebra, 2009 - dergipark.org.tr
As a generalization of right p-injective rings, we introduce the notion of right Jcp-injective
rings, ie for any right nonsingular element c of R and any right R-homomorphism g: cR→ R …
rings, ie for any right nonsingular element c of R and any right R-homomorphism g: cR→ R …
On FC-purity and I-purity of modules and Köthe rings
M Behboodi, A Ghorbani… - Communications in …, 2014 - Taylor & Francis
In this article, several characterizations of certain classes of rings via FC-purity and I-purity
are considered. Among others results, it is shown that every I-pure injective left R-module is …
are considered. Among others results, it is shown that every I-pure injective left R-module is …
On SAS-Injective Rings
HH Chyad, AR Mehdi - Iraqi Journal of Science, 2024 - ijs.uobaghdad.edu.iq
Let be a ring. A right-module is called SAS--injective (where is any right-module) if every
right-homomorphism from a semiartinian small right submodule of into extends to. A ring is …
right-homomorphism from a semiartinian small right submodule of into extends to. A ring is …
[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 …
generated modules'. JANS [4] called them as co finitely generated modules and defined a …
Modules satisfying extension conditions under monomorphism of their closed submodules
TC Quynh, PH Tin - Asian-European Journal of Mathematics, 2012 - World Scientific
A right R-module N is called pseudo M-injective if for any submodule A of M, every
monomorphism from A to N, can be extended to a homomorphism from M to N. Module M is …
monomorphism from A to N, can be extended to a homomorphism from M to N. Module M is …
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 …
of quotients Q max (A) of A is an injective right A-module and A is a right completely …
[PDF][PDF] C-coretractable and strongly C-coretractable modules
IMA Hadi, SN Al-Aeashi - Al-Nahrain Journal of Science, 2019 - iasj.net
Let R be a ring with identity and M be an R-module with unity. In this paper we introduce the
notion of C-coretractable modules. Some basic properties of this class of modules are …
notion of C-coretractable modules. Some basic properties of this class of modules are …
Weakly projective and weakly injective modules
SK Jain, SR López-Permouth, K Oshiro… - Canadian Journal of …, 1994 - cambridge.org
A module M is said to be weakly N-projective if it has a projective cover π: P (M)↠ M and for
each homomorphism: P (M)→ N there exists an epimorphism σ: P (M)↠ M such that (kerσ) …
each homomorphism: P (M)→ N there exists an epimorphism σ: P (M)↠ M such that (kerσ) …
[PDF][PDF] On Pseudo-Projective and Essentially Pseudo-Injective Modules
R Jaiswal, PC Bharadway - International Mathematical Forum, 2011 - m-hikari.com
Pseudo injectivity is a generalization of quasi injectivity. In this paper; certain properties of M-
pseudo-injective modules, essentially pseudo injective modules and essentially pseudo …
pseudo-injective modules, essentially pseudo injective modules and essentially pseudo …