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On sπ-Weakly Regular Rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2008
A ring R is said to be right(left) sp-weakly regular if for each a Î R and a positive integer n,  aΠ aR aR (aÎ R aR a). In this paper, we continue to study sp-weakly regular rings due to R. D. Mahmood and A. M. Abdul-Jabbar [8].
Raida Mahmood, Abdullah Abdul-Jabbar
doaj   +2 more sources

On Weakly Regular Rings and SSF-rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2006
In this work we consider weakly regular rings whose simple singular right R-Modules are flat. We also consider the condition (*): R satisfies L(a)Ír(a) for any aÎR. We prove that if R satisfies(*) and whose simple singular right R-module are flat, then Z
Raida Mahmood
doaj   +2 more sources

When rings of continuous functions are weakly regular [PDF]

open access: yesBulletin of the Belgian Mathematical Society - Simon Stevin, 2015
It is well known that, for any Tychonoff space \(X\), the ring \(C(X)\) is regular in the sense of von Neumann precisely when \(X\) is a \(P\)-space. This result also holds in the broader context of pointfree topology. Indeed, denoting the ring of real-valued continuous functions on a frame \(L\) by \(\mathcal RL\), then \(\mathcal RL\) is a regular ...
Dube, Themba, Nsayi, Jissy Nsonde
exaly   +4 more sources

A construction of weakly and non-weakly regular bent functions over the ring of integers modulo $$p^m$$ p m

open access: yesApplicable Algebra in Engineering, Communications and Computing, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ferruh Ozbudak
exaly   +3 more sources

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

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

On Simple GP – Injective Modules [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2012
In this  paper, we study rings whose simple right R-module are GP-injective. We prove that ring whose simple right R-module is GP-injective it will be right -weakly regular ring.
Mohammed Youns, Najlaa Jassim
doaj   +1 more source

On almost s-weakly regular rings

open access: yesTurkish Journal of Mathematics, 2022
The paper under review is devoted to the comprehensive study of almost s-weakly regular rings. In fact, an element \(a\in R\) of a ring \(R\) is called \textit{s-weakly regular}, provided \(a\in aRa^2R\). If each element of \(R\) is s-weakly regular, the ring \(R\) is respectively also caled \textit{s-weakly regular}.
Jangra, Kanchan, Udar, Dinesh
openaire   +2 more sources

On GP-InjectivityWith Some Types of Rings [PDF]

open access: yesمجلة التربية والعلم, 2007
The purpose of this paper is to study GP-injective modules and give some of it is properties. Also, we proved: (1) If every simple right R-module is GP-injective, and R is reversible ring, then R is a right weakly -regular.
Abdullah M. Abdul-Jabbar   +1 more
doaj   +1 more source

Maximal Generalization of Pure Ideals [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2008
The purpose of this paper is to study the class of the rings for which every maximal right ideal is left GP-ideal. Such rings are called MGP-rings and give some of their basic properties as well as the relation between MGP-rings, strongly regular ring ...
Raida Mahmood, Awreng Mahmood
doaj   +1 more source

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