Generalizations of prime submodules over non-commutative rings
E Aslankarayigit Ugurlu - arXiv e-prints, 2020 - ui.adsabs.harvard.edu
Throughout this paper, $ R $ is an associative ring (not necessarily commutative) with
identity and $ M $ is a right $ R $-module with unitary. In this paper, we introduce a new …
identity and $ M $ is a right $ R $-module with unitary. In this paper, we introduce a new …
[PDF][PDF] Quasi regular modules and trivial extension
Recall that a ring R is said to be a quasi regular ring if its total quotient ring q (R) is von
Neumann regular. It is well known that a ring R is quasi regular iff it is a reduced ring …
Neumann regular. It is well known that a ring R is quasi regular iff it is a reduced ring …
On n-absorbing submodules of modules over commutative rings
MK Dubey, P Aggarwal - … zur Algebra und Geometrie/Contributions to …, 2016 - Springer
In this paper, we study the concepts of n-absorbing and weakly n-absorbing submodules of
modules over a commutative ring with non-zero unity which is a generalization of prime and …
modules over a commutative ring with non-zero unity which is a generalization of prime and …
Multiplication modules
AA Tuganbaev - Journal of Mathematical Sciences, 2004 - Springer
All rings are assumed to be associative and with nonzero identity element. Unless otherwise
stated all modules are unital right modules. Expressions such as “a Noetherian ring” mean …
stated all modules are unital right modules. Expressions such as “a Noetherian ring” mean …
[PDF][PDF] On radical formula in modules over noncommutative rings
O Öneş - Filomat, 2020 - doiserbia.nb.rs
This paper examines the radical formula in noncommutative case and for this purpose, a
generalization of prime submodule is defined. It is proved that there is a direct connection …
generalization of prime submodule is defined. It is proved that there is a direct connection …
[PDF][PDF] On the primary avoidance theorem for modules over commutative rings
ON THE PRIMARY AVOIDANCE THEOREM FOR MODULES OVER COMMUTATIVE RINGS
Throughout this paper, R denotes a commutative ring with ide Page 1 ON THE PRIMARY …
Throughout this paper, R denotes a commutative ring with ide Page 1 ON THE PRIMARY …
On the dual notion of prime submodules
H Ansari-Toroghy, F Farshadifar - Algebra Colloquium, 2012 - World Scientific
Let R be a commutative ring and M an R-module. In this paper, we study the dual notion of
prime submodules (that is, second submodules of M) and investigate the conditions under …
prime submodules (that is, second submodules of M) and investigate the conditions under …
Dual Notions of Prime Modules
RI Khalaf, IM Ali - Ibn Al-Haitham Journal For Pure and Applied Sciences, 2010 - iasj.net
Let R be a commutative ring with unity. M an R-Module. M is called coprime module (dual
notion of prime module) if ann M= ann M/N for every proper submodule N of M In this paper …
notion of prime module) if ann M= ann M/N for every proper submodule N of M In this paper …
[PDF][PDF] Locally cyclic projective modules
MM Ali, DJ Smith - New Zealand Journal of Mathematics, 2005 - academia.edu
Let R be a commutative ring with identity and M an R–module. If M is either locally cyclic
projective or faithful multiplication then M is locally either zero or isomorphic to R. We …
projective or faithful multiplication then M is locally either zero or isomorphic to R. We …