Results 11 to 20 of about 2,674,191 (282)

EP elements and *-strongly regular rings

open access: yesFilomat, 2018
Let R be a ring with involution *. An element a 2 R is called *-strongly regular if there exists a projection p of R such that p ? comm2(a), ap = 0 and a + p is invertible, and R is said to be *-strongly regular if every element of R is *-strongly regular.
Yao, Hua, Wei, Junchao
openaire   +3 more sources

الحلقات المنتظمة بضعف من النمط s [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2007
The purpose of this paper is to study a new class of rings R in which, for each a ΠR, aΠ aR aR, for some positive integer n. Such rings are called sp-weakly regular rings and give some of their basic properties as well as the relation between sp-weakly
Raida D. Mahmood   +1 more
doaj   +2 more sources

Characterizations of rings and modules by means of lattices [PDF]

open access: yes, 1965
PhDIn this thesis we study the relationship between the lattice of submodules and the algebraic structure of a module. The key remark in our study will be the fact that the homomorphisms between two independent submadules of a module can be ...
Stephenson, W.
core   +4 more sources

On P-Injective Modules And Ɣ-Regular Rings [PDF]

open access: yesمجلة التربية والعلم, 2012
The main purpose of this paper is to study Ɣ-regular rings, and the connection between such rings and weakly regular, π-regular, strongly π-regular, semi π-regular and SNI-rings. We also study P-injective modules, and to find it's relation with Ɣ-regular
Baida S. Abdullah
doaj   +1 more source

Boolean Rings Based On Multirings [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 2021
The purpose of this paper is to construct Boolean rings from multirings. In this regards, a method to construct a multigroup(multiring) on a given non-empty set, are introduced and its properties has been investigated.
Reza Ameri   +2 more
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

Linear codes and cyclic codes over finite rings and their generalizations: a survey

open access: yesElectronic Journal of Graph Theory and Applications, 2023
We survey a recent progress of cyclic codes over finite rings and their generalization to skew cyclic as well as skew cyclic codes with derivation over finite rings, focusing on structural properties of the codes.
Djoko Suprijanto
doaj   +1 more source

Smarandache rings [PDF]

open access: yes, 2002
Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
core   +1 more source

NEUTROSOPHIC RINGS [PDF]

open access: yes, 2006
In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy   +2 more
core   +1 more source

Strongly Regular Extensions of Rings [PDF]

open access: yesNagoya Mathematical Journal, 1962
As defined by Arens and Kaplansky [2] a ring A is strongly regular (s.r.) in case to each a∊ A there corresponds x = xa ∊A depending on a such that a 2 x = a. In the present article a ring A is defined to be a s.r.
openaire   +2 more sources

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