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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
openaire   +5 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, Communication and Computing, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dilek Çelik, Ferruh Özbudak
openaire   +4 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

On almost s-weakly regular rings

open access: yesTurkish Journal of Mathematics, 2022
An element $a$ of $R$ is called s-weakly regular (SWR) if $a\in aRa^2R$. A ring $R$ is called an almost SWR if for any $a\in R$, either $a$ or $1-a$ is SWR. In this paper, we introduce almost SWR rings as the generalization of abelian von Neumann local (VNL) rings and SWR rings.
Jangra, Kanchan, Udar, Dinesh
openaire   +2 more sources

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 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

On Properties of Graded Rings with respect to Group Homomorphisms

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2023
Let G be a group and R be a G-graded ring with non-zero unity. The goal of our article is reconsidering some well-known concepts on graded rings using a group homomorphism α:G⟶G. Next is to examine the new concepts compared to the known concepts.
Azzh Saad Alshehry   +2 more
doaj   +1 more source

Cyclic Associative Groupoids (CA-Groupoids) and Cyclic Associative Neutrosophic Extended Triplet Groupoids (CA-NET-Groupoids) [PDF]

open access: yesNeutrosophic Sets and Systems, 2019
Group is the basic algebraic structure describing symmetry based on associative law. In order to express more general symmetry (or variation symmetry), the concept of group is generalized in various ways, for examples, regular semigroups, generalized ...
Xiaohong Zhang, Zhirou Ma, Wangtao Yuan
doaj   +1 more source

Idempotent Reflexive rings whose every simle singular right module are yj-injective [PDF]

open access: yesالمجلة العراقية للعلوم الاحصائية, 2011
In this paper we study rightidempotent reflexive ring whose simple singular right R-module isYJ-injective, we prove that this type of ring is right weakly regular ring, we show that if R is N duo or NCI ring and R is right idempotent reflexive ring ...
doaj   +1 more source

Multimode N00N states in driven atomtronic circuits

open access: yesPhysical Review Research, 2020
We propose a method to generate multimode N00N states with arrays of ultracold atoms. Our protocol requires a strong relative offset among the wells and a drive of the interparticle interaction at a frequency resonant with the offsets.
Enrico Compagno   +4 more
doaj   +1 more source

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