Results 101 to 110 of about 128 (117)

On nilpotent elements of ore extensions

Asian-European Journal of Mathematics, 2017
Let [Formula: see text] be an associative ring with unity, [Formula: see text] be an endomorphism of [Formula: see text] and [Formula: see text] an [Formula: see text]-derivation of [Formula: see text]. We introduce the notion of [Formula: see text]-nilpotent p.p.-rings, and prove that the [Formula: see text]-nilpotent p.p.-condition extends to ...
Azimi, Masoud, Moussavi, Ahmad
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Nilpotent Elements and Skew Polynomial Rings

Algebra Colloquium, 2012
We study the structure of the set of nilpotent elements in extended semicommutative rings and introduce nil α-semicommutative rings as a generalization. We resolve the structure of nil α-semicommutative rings and obtain various necessary or sufficient conditions for a ring to be nil α-semicommutative, unifying and generalizing a number of known ...
Alhevaz, A., Moussavi, A., Hashemi, E.
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Nilpotent elements and McCoy rings

Studia Scientiarum Mathematicarum Hungarica, 2012
We introduce the concept of nil-McCoy rings to study the structure of the set of nilpotent elements in McCoy rings. This notion extends the concepts of McCoy rings and nil-Armendariz rings. It is proved that every semicommutative ring is nil-McCoy. We shall give an example to show that nil-McCoy rings need not be semicommutative. Moreover, we show that
Liang Zhao, Xiaosheng Zhu, Qinqin Gu
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Nilpotent elements in medial semigroups

Mathematica Slovaca, 2019
AbstractWe show without the Kuratowski-Zorn lemma that the set of all nilpotent elements of a medial semigroup (with zero) is the set-theoretic intersection of all its prime ideals. Moreover, some applications of the above theorem are given.
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Nilpotent Elements in Hochschild Cohomology

2018
We study the algebra \(A=K\langle x, y\rangle /(x^2, y^2, (xy)^k+q(yx)^k)\) over the field K where \(k\ge 1\) and where \(0\ne q \in K\). We determine a minimal projective bimodule resolution of A. In the case when q is not a root of unity, we compute its Hochschild cohomology.
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Algebras without nilpotent elements, II

Algebra and Logic, 1969
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Exceptional distinguished nilpotent elements

2012
Martin Liebeck, Gary Seitz
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Standard distinguished nilpotent elements

2012
Martin Liebeck, Gary Seitz
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Near-rings without nilpotent elements

Publicationes Mathematicae Debrecen, 2022
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Adjunction of Elements To Nilpotent Groups

Journal of the London Mathematical Society, 1963
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