Results 1 to 10 of about 182,875 (169)

On Strongly pi-Regular Rings with Involution [PDF]

Communications in Mathematics, 2022
Recall that a ring R is called strongly pi-regular if, for every a in R, there is a positive integer n, depending on a, such that a^n belongs to the intersection of a^{n+1}R and Ra^{n+1}.
Jian Cui, P. Danchev
semanticscholar   +4 more sources

On Strongly  – Regular Rings [PDF]

مجلة التربية والعلم, 2009
The main goal of the work is to study a strongly -regular rings, which was introduce by Mohammad A. J. and Salih. S. M. in (2006). That is, a ring R is said to be strongly -regular if for every a R there exists bR and a positive integer n≠1 such ...
Baida S. Abdullah
doaj   +2 more sources

Strongly regular rings

Journal of Algebra, 1991
Let A be a d-dimensional regular local ring with maximal ideal \({\mathfrak m}\), and let \(\lambda\) be an element of \({\mathfrak m}\), \(\lambda\not\in {\mathfrak m}^ 2\). The question addressed in this paper is whether the ring \(A[\lambda^{-1}]\) is super-regular, in the sense that all its maximal ideals can be generated by d-1 elements.
Budh S Nashier
semanticscholar   +2 more sources

Equimultiplicity Theory of Strongly F-Regular Rings [PDF]

Michigan Mathematical Journal, 2019
We explore the equimultiplicity theory of the $F$-invariants Hilbert--Kunz multiplicity, $F$-signature, Frobenius Betti numbers, and Frobenius Euler characteristic over strongly $F$-regular rings.
Thomas Polstra, I. Smirnov
semanticscholar   +4 more sources

EP elements and *-strongly regular rings

Filomat, 2018
Let $R$ be a ring with involution $*$. An element $a\in R$ is called $*-$strongly regular if there exists a projection $p$ of $R$ such that $p\in comm^2(a)$, $ap=0$ and $a+p$ is invertible, and $R$ is said to be $*-$strongly regular if every element of ...
H. Yao, Junchao Wei
semanticscholar   +3 more sources

Some Remarks on Regular and Strongly Regular Rings

Canadian Mathematical Bulletin, 1975
This article presents some new algebraic and module theoretic characterizations of strongly regular rings. The latter uses Lambek’s notion of symmetry. Strongly regular rings are shown to admit an involution and form an equational category. An example due to Paré shows that the category of regular rings and ring homomorphisms between them is not ...
R. Raphael
semanticscholar   +2 more sources

EXTENSIONS OF STRONGLY π-REGULAR RINGS [PDF]

Bulletin of the Korean Mathematical Society, 2014
An ideal I of a ring R is strongly π-regular if for any x ∈ I there exist n ∈ N and y ∈ I such that x = xy. We prove that every strongly π-regular ideal of a ring is a B-ideal. An ideal I is periodic provided that for any x ∈ I there exist two distinct m,n ∈ N such that x = x. Furthermore, we prove that an ideal I of a ring R is periodic if and only if
Huanyin Chen
exaly   +5 more sources

On Strongly - Regular Rings

مجلة ابحاث كلية التربية الاساسية
             In our study we examine  definition of strongly γ -regular rings and associates, investigate  interplay between strongly γ - regular rings and other reduced rings. We also study GP – injective modules, and discuss its relation with strongly
Luma Ahmed Khaleel, Beyda S. Abdullah
doaj   +2 more sources

Weakly Semicommutative Rings and Strongly Regular Rings

Kyungpook mathematical journal, 2014
A ring R is called weakly semicommutative ring if for any a, b ∈ R∗ = R \ {0} with ab = 0, there exists n ≥ 1 such that either a = 0 and aRb = 0 or b = 0 and aRb = 0. In this paper, many properties of weakly semicommutative rings are introduced, some known results are extended. Especially, we show that a ring R is a strongly regular ring if and only if
Long Wang, Junchao Wei
semanticscholar   +3 more sources

An internal characterisation of strongly regular rings [PDF]

Bulletin of the Australian Mathematical Society, 1992
We show that a right duo ring R is strongly regular if and only if for each ideal I of R, the coset product of I in the factor ring R/I is the same as their set product.
Lu-Jing Huang, W. Xue
semanticscholar   +2 more sources