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 …
[PDF][PDF] Rad-⊕-supplemented modules
E Türkmen - Analele ştiinţifice ale Universităţii" Ovidius" Constanţa …, 2013 - sciendo.com
In this paper we provide various properties of Rad-⊕-supplemented modules. In particular,
we prove that a projective module M is Rad-⊕-supplemented if and only if M is⊕ …
we prove that a projective module M is Rad-⊕-supplemented if and only if M is⊕ …
[PDF][PDF] Characterizations of Rad-supplemented modules
E Türkmen, A Pancar - Miskolc Mathematical Notes, 2012 - real.mtak.hu
We prove that a commutative ring R is an artinian principal ideal ring if and only if the ring is
semilocal and every Rad-supplemented R-module is a direct sum of w-local R-modules …
semilocal and every Rad-supplemented R-module is a direct sum of w-local R-modules …
A note on generalizations of semisimple modules
E Kaynar, BN Türkmen, E Türkmen - … Mathematicae Universitatis Carolinae, 2019 - dml.cz
A left module $ M $ over an arbitrary ring is called an $\mathcal {RD} $-module (or an
$\mathcal {RS} $-module) if every submodule $ N $ of $ M $ with ${\rm Rad}(M)\subseteq N …
$\mathcal {RS} $-module) if every submodule $ N $ of $ M $ with ${\rm Rad}(M)\subseteq N …
On minimal absolutely pure domain of RD-flat modules
Y ALAGÖZ - Turkish Journal of Mathematics, 2022 - journals.tubitak.gov.tr
Abstract Given modules $ A_ {R} $ and $ _ {R} B $, $ _ {R} B $ is called absolutely $ A_ {R}
$-pure if for every extension $ _ {R} C $ of $ _ {R} B $, $ A\otimes B\rightarrow A\otimes C …
$-pure if for every extension $ _ {R} C $ of $ _ {R} B $, $ A\otimes B\rightarrow A\otimes C …
[引用][C] Finite direct projective modules
S Gupta, AJ Gupta - Asian-European Journal of Mathematics, 2023 - World Scientific
In this paper, we introduce the notion of finite direct projective modules, which is a
generalization of direct projective modules; counter-example is given. We study the …
generalization of direct projective modules; counter-example is given. We study the …
Dual utumi modules
Y Ibrahim, M Yousif - Communications in Algebra, 2019 - Taylor & Francis
A submodule N of a right R-module M is said to lie over a direct summand of M if, there is a
decomposition M= M 1⊕ M 2 with M 1⊆ N and N∩ M 2,↪ small M 2. In this paper, a right R …
decomposition M= M 1⊕ M 2 with M 1⊆ N and N∩ M 2,↪ small M 2. In this paper, a right R …
Generalizations of⊕-supplemented modules
BN Türkmen, A Pancar - Ukrainian Mathematical Journal, 2013 - Springer
We introduce⊕-radical supplemented modules and strongly⊕-radical supplemented
modules (briefly, srs⊕-modules) as proper generalizations of⊕-supplemented modules. We …
modules (briefly, srs⊕-modules) as proper generalizations of⊕-supplemented modules. We …
Rad-Projective δ-Covers
Y Ibrahim, M Yousif - Noncommutative Rings and Their …, 2015 - books.google.com
In generalizing the well-established notion of projective cover, the notions of D3-cover and
rad-projective cover were recently introduced and new characterizations of perfect and …
rad-projective cover were recently introduced and new characterizations of perfect and …
Prime uniserial modules and rings
M Behboodi, Z Fazelpour - Journal of Algebra and Its Applications, 2019 - World Scientific
We define prime uniserial modules as a generalization of uniserial modules. We say that an
R-module M is prime uniserial (℘-uniserial) if its prime submodules are linearly ordered by …
R-module M is prime uniserial (℘-uniserial) if its prime submodules are linearly ordered by …