Results 171 to 180 of about 2,773,140 (200)
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On nilpotent elements of ore extensions
Asian-European Journal of Mathematics, 2017Let [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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Central subalgebras of the centralizer of a nilpotent element
Proceedings of the American Mathematical Society, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mcninch, George J., Testerman, Donna M.
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Nilpotent Elements and Skew Polynomial Rings
Algebra Colloquium, 2012We 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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On the Representation of an Idempotent as a Sum of Nilpotent Elements
Canadian Mathematical Bulletin, 1996AbstractIn this paper we study in which rings a non-zero idempotent element can be presented as a sum of two nilpotent elements.
Ferrero, M. +2 more
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Nilpotent elements and McCoy rings
Studia Scientiarum Mathematicarum Hungarica, 2012We 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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AN EXAMPLE OF A CHAIN PRIME RING WITH NILPOTENT ELEMENTS
Mathematics of the USSR-Sbornik, 1984Translation from Mat. Sb., Nov. Ser. 120(162), No.3, 441-447 (Russian) (1983; Zbl 0517.16002).
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A Description of Ad-nilpotent Elements in Semiprime Rings with Involution
Bulletin of the Malaysian Mathematical Sciences Society, 2021José Brox +2 more
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Normal forms of nilpotent elements in semisimple Lie algebras
Indagationes Mathematicae, 2021Mamuka Jibladze
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The Idempotent and Nilpotent Elements of a Matrix
American Journal of Mathematics, 1936openaire +2 more sources
Adjunction of Elements To Nilpotent Groups
Journal of the London Mathematical Society, 1963openaire +2 more sources