On 2-SG-semisimple rings

D Bennis, K Hu, F Wang - 2015 - projecteuclid.org
In this paper, we investigate 2-SG-semisimple rings which are a particular kind of quasi-
Frobenius rings over which all modules are periodic of period~ 2. Namely, we show that …

Lifting modules, extending modules and their applications to generalized uniserial rings

K Oshiro - Hokkaido Mathematical Journal, 1984 - projecteuclid.org
Artinian serial principal ideal rings and artinian serial rings are tradi-tionally called
uniserialrings and generalized uniserial rings, respectively. These rings are important …

[PDF][PDF] On prime and semiprime ideals in Gamma-Seminear-Rings

KH Kim - Scientiae Mathematicae Japonicae, 2001 - jams.jp
revised February 13, 2001◊ ÿ÷ ÿ∫ In this paper, we introduce the notion of prime and
semiprime ideal and characterize prime and semiprime ideals in a†-seminear-ring. Among …

[PDF][PDF] Generalizations of C3 modules and C4 modules

ZM Zhu - Mathematical Reports, 2023 - imar.ro
Throughout, R is an associative ring with identity and all modules are unitary. Unless
otherwise specified, s is a class of some right R-modules which is closed under …

On the representation of dg seminear-rings

M Samman - Algebra Colloquium, 2007 - World Scientific
Some results about the representation of dg seminear-rings are given. While not all dg
seminear-rings are faithful, it seems that there are conditions under which the dg seminear …

New characterizations of quasi-Frobenius rings

L Shen, J Chen - Communications in Algebra®, 2006 - Taylor & Francis
Full article: New Characterizations of Quasi-Frobenius Rings Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Access provided by The …

[图书][B] Classical Artinian rings and related topics

Y Baba - 2009 - books.google.com
Quasi-Frobenius rings and Nakayama rings were introduced by T Nakayama in 1939. Since
then, these classical artinian rings have continued to fascinate ring theorists with their …

[PDF][PDF] The category of s-unital modules

H Komatsu - Mathematical Journal of Okayama University, 1986 - ousar.lib.okayama-u.ac.jp
The category of unital modules over a ring with identity element is characterized as a
cocomplete abelian category with a progenerator. More generally, every cocomplete abelian …

[HTML][HTML] S-Injective Modules and Rings

NA Zeyada - Advances in Pure Mathematics, 2014 - scirp.org
S-Injective Modules and Rings SCIRP LOGO ACCESS LOGO Home Journals Books
Conferences News About Us Jobs Advances in Pure Mathematics Vol.04 No.01(2014), Article …

[HTML][HTML] On φ-u-S-flat modules and nonnil-u-S-injective modules

H Kim, N Mahdou, EH Oubouhou - Georgian Mathematical Journal, 2024 - degruyter.com
This paper introduces and studies the ϕ-uS-flat (resp., nonnil-uS-injective) modules, which
are a generalization of both ϕ-flat modules and uS-flat modules (resp., both nonnil-injective …