[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 …
[PDF][PDF] On the functionally countable subalgebra of C (X)
M Ghadermazi, OAS Karamzadeh… - Rendiconti del Seminario …, 2013 - numdam.org
Let Cc (X) ff PC (X): f (X) is countableg. Similar to C (X) it is observed that the sum of any
collection of semiprime (resp. prime) ideals in the ring Cc (X) is either Cc (X) or a semiprime …
collection of semiprime (resp. prime) ideals in the ring Cc (X) is either Cc (X) or a semiprime …
[PDF][PDF] Modules whose certain submodules are prime
Modules in which every proper submodule (resp. proper nonzero submodule) is prime
(called fully prime (almost fully prime)) and with some other related notions are fully …
(called fully prime (almost fully prime)) and with some other related notions are fully …
On C ( X ) Modulo its Socle
AA Estaji, OAS Karamzadeh - 2003 - Taylor & Francis
Let CF (X) denote the socle of C (X). It is shown that X is a P-space if and only if C (X) is a ℵ0-
selfinjective ring or equivalently, if and only if is ℵ0-selfinjective. We also prove that X is an …
selfinjective ring or equivalently, if and only if is ℵ0-selfinjective. We also prove that X is an …
-ideals in commutative rings
R Mohamadian - Turkish Journal of Mathematics, 2015 - journals.tubitak.gov.tr
In this article we introduce the concept of $ r $-ideals in commutative rings (note: an ideal $ I
$ of a ring $ R $ is called $ r $-ideal, if $ ab\in I $ and ${\rm Ann}(a)=(0) $ imply that $ b\in I …
$ of a ring $ R $ is called $ r $-ideal, if $ ab\in I $ and ${\rm Ann}(a)=(0) $ imply that $ b\in I …
On ℵ - self-injectivity of strongly regular rings
OAS Karamzadeh, AA Koochakpoor - Communications in Algebra, 1999 - Taylor & Francis
Introduction. Recently in [6], Theorem 4, it has been shown that if R is a self-~ njective
strongly regular rrng, then the power series ring R [[x]] is a duo ring (ie, every one-sided …
strongly regular rrng, then the power series ring R [[x]] is a duo ring (ie, every one-sided …
α-Noetherian and artinian modules
OAS Karamzadeh, M Motamedi - Communications in Algebra, 1995 - Taylor & Francis
In answer to a question by L. Fuchs, TS Shores in [26] has shown that if M is a Loewy
module over a commutative ring and IS,) is the ascending Loewy series of M such that S1 …
module over a commutative ring and IS,) is the ascending Loewy series of M such that S1 …
[PDF][PDF] On z-Ideals and z^ 0-Ideals of Power Series Rings
AR Aliabad, R Mohamadian - Journal of Mathematical Extension, 2014 - ijmex.com
Let R be a commutative ring with identity and R [[x]] be the ring of formal power series with
coefficients in R. In this article we consider sufficient conditions in order that P [[x]] is a …
coefficients in R. In this article we consider sufficient conditions in order that P [[x]] is a …
Strongly duo modules and rings
H Khabazian, S Safaeeyan… - Communications in …, 2010 - Taylor & Francis
An R-module M is called strongly duo if Tr (N, M)= N for every N≤ MR. Several equivalent
conditions to being strongly duo are given. If MR is strongly duo and reduced, then End R …
conditions to being strongly duo are given. If MR is strongly duo and reduced, then End R …
On ℵ0-Injectivity
E Momtahan - Communications in Algebra, 2004 - Taylor & Francis
In this note we investigate ℵ0-injectivity of rings and modules and review the literature
around this topic. We observe that several characterizations of rings by injectivity can be …
around this topic. We observe that several characterizations of rings by injectivity can be …