Results 241 to 250 of about 198,066 (270)
On strongly π-regular rings and periodic rings
On strongly π-regular rings and periodic ringsopenaire
Some of the next articles are maybe not open access.
Related searches:
Related searches:
On Strongly ?-Regular Group Rings
Southeast Asian Bulletin of Mathematics, 2003An element \(x\) in a ring \(R\) is said to be left or right \(\pi\)-regular if there exists \(y\in R\) and a positive integer \(n\) such that \(x^n=yx^{n+1}\) or \(x^n=x^{n+1}y\), respectively. If \(x\) is both left and right \(\pi\)-regular, then it is strongly \(\pi\)-regular, and \(R\) is said to be a strongly \(\pi\)-regular ring if all its ...
Chin, A. Y. M., Chen, H. V.
exaly +3 more sources
A note on strongly π-regular rings
Acta Mathematica Hungarica, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Angelina Chin
exaly +2 more sources
A generalization of strongly regular rings
Acta Mathematica Hungarica, 1984A ring \(A\) is s-weakly regular if for all \(a\) in \(A\) \(a\) is in \(aAa^ 2A\). The class of s-weakly regular rings lies strictly between the class of strongly regular rings and the class of weakly regular rings. Just as strongly regular rings are the reduced regular rings, the s-weakly regular rings are the reduced weakly regular rings. A ring \(A\
exaly +3 more sources
Journal of Algebra and Its Applications, 2019
Let [Formula: see text] be a ring with involution ∗. An element [Formula: see text] is called ∗-strongly regular if there exists a projection [Formula: see text] of [Formula: see text] such that [Formula: see text], [Formula: see text] and [Formula: see text] is invertible, and [Formula: see text] is said to be ∗-strongly regular if every element of ...
Long Wang, Yinchun Qu, Junchao Wei
openaire +1 more source
Let [Formula: see text] be a ring with involution ∗. An element [Formula: see text] is called ∗-strongly regular if there exists a projection [Formula: see text] of [Formula: see text] such that [Formula: see text], [Formula: see text] and [Formula: see text] is invertible, and [Formula: see text] is said to be ∗-strongly regular if every element of ...
Long Wang, Yinchun Qu, Junchao Wei
openaire +1 more source
Weakly and Strongly Regular Near-rings
Algebra Colloquium, 2005In this paper, we prove some basic properties of left weakly regular near-rings. We give an affirmative answer to the question whether a left weakly regular near-ring with left unity and satisfying the IFP is also right weakly regular. In the last section, we use among others left 0-prime and left completely prime ideals to characterize strongly ...
Groenewald, NJ, Argac, N
openaire +3 more sources
Acta Mathematica Hungarica, 1990
An associative ring \(R\) with identity is called strongly regular if for each \(a\in R\) there is an \(x\in R\) such that \(a=a^ 2x\). It is easy to see that a Noetherian ring \(R\) is strongly regular if and only if it is a finite direct product of division rings.
openaire +1 more source
An associative ring \(R\) with identity is called strongly regular if for each \(a\in R\) there is an \(x\in R\) such that \(a=a^ 2x\). It is easy to see that a Noetherian ring \(R\) is strongly regular if and only if it is a finite direct product of division rings.
openaire +1 more source
Some Remarks on Regular and Strongly Regular Rings
Canadian Mathematical Bulletin, 1975This 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 ...
openaire +1 more source
Left orders in strongly regular rings
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1993SynopsisIn this paper we characterise left orders in strongly regular rings, both for classical left orders and left orders in the sense of Fountain and Gould [2] where the ring of quotients need not have an identity.
Ánh, Pham Ngoc, Márki, László
openaire +2 more sources
A type of strongly regular rings
Journal of Intelligent & Fuzzy Systems, 2015In this study, using Yuan and Lee’s definition of fuzzy group based on fuzzy binary operation and Aktas and Cagman definition of fuzzy ring, we give a new kind of definition to ( A : B ). The concept of fuzzy regular and fuzzy left strongly regular are introduced and we create a new study ...
Sambathkumar, B. +2 more
openaire +1 more source