Rings whose pure-injective right modules are direct sums of lifting modules
PAG Asensio, DK Tütüncü - Journal of Algebra, 2013 - Elsevier
It is shown that every pure-injective right module over a ring R is a direct sum of lifting
modules if and only if R is a ring of finite representation type and right local type. In …
modules if and only if R is a ring of finite representation type and right local type. In …
Direct sums of hollow-lifting modules
Y Wang, D Wu - Algebra Colloquium, 2012 - World Scientific
A module M over a ring R is called hollow-lifting if every submodule N of M with M/N hollow
contains a direct summand K of M such that N/K is a small submodule of M/K. It is known that …
contains a direct summand K of M such that N/K is a small submodule of M/K. It is known that …
Rad-discrete modules
BN Türkmen, HH Ökten, E Türkmen - Bulletin of the Iranian Mathematical …, 2021 - Springer
We introduce Rad-discrete and quasi-Rad-discrete modules as a proper generalization of
(quasi) discrete modules, and provide various properties of these modules. We prove that a …
(quasi) discrete modules, and provide various properties of these modules. We prove that a …
On a class of Harada rings
BN Türkmen, YM Demirci - Open Mathematics, 2022 - degruyter.com
In this study, inspired by the definition and a previous study [F. Eryılmaz, SS-lifting modules
and rings, Miskolc Math. Notes 22 (2021), no. 2, 655–662], left Harada rings are adapted to …
and rings, Miskolc Math. Notes 22 (2021), no. 2, 655–662], left Harada rings are adapted to …
Lifting modules with indecomposable decompositions
A module M is called a “lifting module” if, any submodule A of M contains a direct summand
B of M such that A/B is small in M/B. This is a generalization of projective modules over …
B of M such that A/B is small in M/B. This is a generalization of projective modules over …
[HTML][HTML] On the decomposition of extending lifting modules
CH Chang, JM Shin - Bulletin of the Korean Mathematical Society, 2009 - koreascience.kr
Abstract In 1984, Oshiro [11] has studied the decomposition of continuous lifting modules.
He obtained the following: every continuous lifting module has an indecomposable …
He obtained the following: every continuous lifting module has an indecomposable …
On a class of Harada rings
B Türkmen Nişancı, YM Demirci - 2022 - acikerisim.agu.edu.tr
In this study, inspired by the definition and a previous study [F. Eryilmaz, SS-lifting modules
and rings, Miskolc Math. Notes 22 (2021), no. 2, 655-662], left Harada rings are adapted to …
and rings, Miskolc Math. Notes 22 (2021), no. 2, 655-662], left Harada rings are adapted to …
On infinite direct sums of lifting modules
The aim of the present article is to investigate the structure of rings R satisfying the condition:
for any family {S i| i∈ ℕ} of simple right R-modules, every essential extension of⊕ i∈ ℕ E (S …
for any family {S i| i∈ ℕ} of simple right R-modules, every essential extension of⊕ i∈ ℕ E (S …
ON THE DECOMPOSITION OF NONCOSINGULAR Σ-LIFTING MODULES.
T Amouzegar - Bulletin of the Iranian Mathematical Society, 2016 - search.ebscohost.com
Let R be a right artinian ring or a perfect commutative ring. Let M be a noncosingular self-
generator Σ-lifting module. Then M has a direct decomposition M=⊕< sub> iϵ< sup> IM< …
generator Σ-lifting module. Then M has a direct decomposition M=⊕< sub> iϵ< sup> IM< …
[PDF][PDF] Nil Orhan Ertas
U Acar - International Mathematical Forum, 2010 - m-hikari.com
In this paper we introduce the (∗)-generalized projective modules as a proper
generalization of projective modules. We also investigate the” When is direct sum of two …
generalization of projective modules. We also investigate the” When is direct sum of two …