Results 231 to 240 of about 1,006,297 (273)

On weakly reversible rings and strongly reversible rings

Publicationes Mathematicae Debrecen, 2010
The authors introduce the following class of rings which contains all commutative and all reduced rings: a ring \(R\) is called weakly reversible if \(ab=0\) implies the existence of \(x,y,z\in R\) such that \(xbyaz\) is a nilpotent element. In the paper the behaviour of weakly reversible rings under diverse constructions is studied.
Zhao, Liang, Zhu, Xiaosheng
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I-Reversible rings

Journal of Algebra and Its Applications, 2019
We study rings in which [Formula: see text] nonzero idempotent implies [Formula: see text] is also an idempotent. We call such rings i-reversible. Besides studying the basic properties of i-reversible rings, we characterize i-reversible triangular matrix rings, i-reversible matrix rings over commutative rings and i-reversible exchange rings.
Khurana, Anjana, Khurana, Dinesh
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On Extended Reversible Rings

Algebra Colloquium, 2009
An endomorphism α of a ring R is called right reversible if whenever ab = 0 for a, b ∈ R, then bα(a) = 0. A ring R is called right α-reversible if there exists a right reversible endomorphism α of R. The notion of an α-reversible ring is a generalization of α-rigid rings as well as an extension of reversible rings.
Baser, Muhittin   +2 more
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Reversibility of tubal ring sterilization

Contraception, 1977
Abstract The reversibility of the tubal ring sterilization technique was studied in 22 rabbits. Using microsurgery for end-to-end reanastomosis, a patency rate of 96% and a pregnancy rate of 86% was obtained. It is suggested that human tubal ring sterilization has a high probability of being reversible, although several factors of reversibility ...
W D, Boeckx, G, Vasquez, I A, Brosens
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Reverse mathematics and semisimple rings

Archive for Mathematical Logic, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Reversible Rings

Bulletin of the London Mathematical Society, 1999
A ring \(R\) is called reversible if \(ab=0\) implies \(ba=0\); it is insertable if \(ab=0\) implies \(aRb=0\). Clearly any reversible ring is insertable, but not conversely. The author proves that a ring is (i) an integral domain if and only if it is prime and reversible (insertable), (ii) reduced if and only if it is semiprime and reversible ...
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