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Some Properties of Strongly Principally Self-Injective Modules [PDF]

open access: yesJournal of Applied Sciences and Nanotechnology, 2022
The idea of generalizing quasi injective by employing a new term is introduced in this paper. The introduction of principally self-injective modules, which are principally self-injective modules.
Khalid Munshid   +2 more
doaj   +1 more source

On Local Rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2014
A ring R is called local ring if it has exactly one maximal ideal. In this paper, we introduce some characterization and basic properties of this ring. Also, we studied the relation between local rings and Von Neumann regular rings and strongly regular ...
Zubayda Ibraheem, Anees Fthee
doaj   +1 more source

MGP and EGP Rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2010
The purpose of this paper is to study the rings in which every maximal (essential) right ideal is a left GP- ideal. Such rings will be called right MGP- rings (EGP- rings).
Raida Mahmood, Shahla Khalil
doaj   +1 more source

On MLGP- Rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2019
An ideal K of a ring R is called right (left) generalized pure (GP -ideal) if for every a ∈ K, there exists m ∈ Z+, and b ∈ K such that  am = am b ( am = b am) . A ring R is called MLGP-ring if every right maximal ideal is left GP-ideal.
Raida mahmood, Ebtehal Mageed
doaj   +1 more source

On Generalized Simple P-injective Rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2005
  In this work, we study generalized simple P-injective rings. New properties of such rings are given, and a characterization of division rings and strongly regular rings in terms of GSP rings is obtained.  
Nazar Shuker, Raida Mahmood
doaj   +1 more source

On MP-Rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2020
An ideal I of a ring R is said to be right (left) Pure if for every  , there is    such that  . A ring R is said to be right (left) MP-ring, if every maximal right (left) ideal of R is a left (right) pure.
Raida Mahmood, Azhar Hajo
doaj   +1 more source

On GP- Ideals [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2009
In this work we give some new properties of GP- ideals as well as the relation between GP- ideals, - π regular and simple ring. Also we consider rings with every principal ideal are GP- ideals and establish relation between such rings with strongly ...
Raida Mahmood, Shahla Khalil
doaj   +1 more source

Rings Over Which Certain Modules Are YJ-Injective [PDF]

open access: yesKirkuk Journal of Science, 2009
In this paper we continue to study the concept of YJ-injectivity which was first introduced by Ming in 1985. Furthermore, we give some characterizations and properties for it.
Abdullah M. Abdul-Jabbar
doaj   +1 more source

PRESIMPLIFIABLE AND WEAKLY PRESIMPLIFIABLE RINGS

open access: yesBarekeng, 2023
Let  be a commutative ring with identity. Two elements   and b in   are called to be associates if  and , or equivalently, if . The generalization of associate relation in R has given the idea for definitions of presimplifiable and weakly presimplifiable
Deby Anastasya, Sri Wahyuni
doaj   +1 more source

REDUCED MODULES AND STRONGLY REGULAR RINGS

open access: bronzeEast Asian mathematical journal, 2017
Chan Guk Huh   +2 more
openalex   +3 more sources

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