Results 1 to 10 of about 5,588,991 (291)

GENERALIZATION OF VON-NEUMANN REGULAR RINGS TO VON-NEUMANN REGULAR MODULES [PDF]

open access: yesBarekeng, 2023
An element r in a commutative ring R is called regular if there exist s∈R such that rsr=r. Ring R is called vN (von-Neumann)-regular ring if every element is regular. Recall that for any ring R always can be considered as module over itself.
Hubbi Muhammad, Sri Wahyuni
doaj   +5 more sources

Von Neumann Regular McCoy Rings [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 2021
A ring R is said to be right McCoy‎, ‎if for every f(x),g(x) in the polynomial ring R[x], with f(x)g(x)=0 there exists a nonzero element cϵR with f(x)c=0‎. In this note‎, ‎we show that von Neumann regular McCoy rings are abelian‎. ‎This gives a ‎positive
Masoome Zahiri
doaj   +4 more sources

Canonical Forms for Reachable Systems over Von Neumann Regular Rings

open access: yesMathematics, 2022
If (A,B) is a reachable linear system over a commutative von Neumann regular ring R, a finite collection of idempotent elements is defined, constituting a complete set of invariants for the feedback equivalence.
Andrés Sáez-Schwedt
doaj   +2 more sources

Conformity and Mass Media Influence in the Sznajd Model on Regular Lattices [PDF]

open access: yesEntropy
The polarization of opinions and difficulties in reaching a consensus are central problems of many modern societies. Understanding the dynamics governing those processes is, therefore, one of the main aims of sociophysics.
Maciej Wołoszyn
doaj   +2 more sources

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

The Krein-von Neumann extension of a regular even order quasi-differential operator [PDF]

open access: yesOpuscula Mathematica, 2021
We characterize by boundary conditions the Krein-von Neumann extension of a strictly positive minimal operator corresponding to a regular even order quasi-differential expression of Shin-Zettl type.
Minsung Cho   +3 more
doaj   +1 more source

Invariance and parallel sums [PDF]

open access: yesBulletin of Mathematical Sciences, 2020
In this paper, the notions of invariance and parallel sums as defined by Anderson and Duffin for matrices [Series and parallel addition of matrices, J. Math. Anal. Appl. 26 (1969) 576–594] are generalized to von Neumann regular rings.
Adel Alahmadi, S. K. Jain, André Leroy
doaj   +1 more source

On (m, n)-semiprime submodules [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2021
This paper aims to introduce a new class of submodules, called (m, n)-semiprime submodule, which is a generalization of semiprime submodule. Let M be a unital A-module and m, n ∈ N.
Ayten Pekin   +2 more
doaj   +1 more source

Stable range conditions for abelian and duo rings

open access: yesМатематичні Студії, 2022
The article deals with the following question: when does the classical ring of quotients of a duo ring exist and idempotents in the classical ring of quotients $Q_{Cl} (R)$ are there idempotents in $R$?
A. A. Dmytruk   +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

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