Results 11 to 20 of about 1,062 (223)
Annihilators of nilpotent elements [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 Let x be a nilpotent element of an infinite ring R (not necessarily with 1). We prove that A(x)—the two-sided annihilator of x—has a large intersection with any infinite ideal I of R in the sense that card(A(x)∩I)=cardI.
Abraham A. Klein
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Gradings induced by nilpotent elements [PDF]
Linear Algebra and its Applications, 2023 An element a is nilpotent last-regular if it is nilpotent and its last nonzero power is von Neumann regular. In this paper we show that any nilpotent last-regular element a in an associative algebra R over a ring of scalars Φ gives rise to a complete system of orthogonal idempotents that induces a finite Z-grading on R; we also show that such element ...
Esther García +3 more
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Eurasian Journal of Science and Engineering, 2017 In this paper we study semi nilpotent elements in rings. It is shown that every element of Z nwhere n is square free is a trivial semi nilpotent. It is proved that every nontrivial nilpotent element is a nontrivial semi nilpotent.
Kurdistan M. Ali , Parween A. Hummadi
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Rings in Which Every Element Is a Sum of a Nilpotent and Three 7-Potents
International Journal of Mathematics and Mathematical SciencesIn this article, we define and discuss strongly S3,7 nil-clean rings: every element in a ring is the sum of a nilpotent and three 7-potents that commute with each other.
Yanyuan Wang, Xinsong Yang
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Real Elements and p-Nilpotence of Finite Groups [PDF]
Advances in Group Theory and Applications, 2016 Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-2-nilpotent group G, is a real element of S. This allows to give a character-free proof of a theorem due to Isaacs and Navarro (see [9, Theorem B]). As an
Adolfo Ballester-Bolinches +2 more
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On classification of (n + 6)-dimensional nilpotent n-Lie algebras of class 2 with n ≥ 4 [PDF]
Arab Journal of Mathematical Sciences, 2021 Purpose – The purpose of this paper is to determine the structure of nilpotent (n+6)-dimensional n-Lie algebras of class 2 when n≥4. Design/methodology/approach – By dividing a nilpotent (n+6)-dimensional n-Lie algebra of class 2 by a central element ...
Mehdi Jamshidi +2 more
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On Hyperideals of Multiplicative Hyperrings
Cumhuriyet Science Journal, 2022 Let R be a commutative multiplicative hyperring. In this paper, we introduce and study the concepts of n-hyperideal and δ-n-hyperideal of R which are generalization of n-ideals and δ-n-ideals of the in a commutative ring.
Ummahan Merdinaz Acar, Betül Coşgun
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Nilpotent Elements of Residuated Lattices [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 Some properties of the nilpotent elements of a residuated lattice are studied. The concept of cyclic residuated lattices is introduced, and some related results are obtained. The relation between finite cyclic residuated lattices and simple MV-algebras is obtained.
Shokoofeh Ghorbani, Lida Torkzadeh
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Reflexivity of rings via nilpotent elements [PDF]
Revista de la Unión Matemática Argentina, 2020 An ideal $I$ of a ring $R$ is called left N-reflexive if for any $a\in$ nil$(R)$, $b\in R$, being $aRb \subseteq I$ implies $bRa \subseteq I$ where nil$(R)$ is the set of all nilpotent elements of $R$. The ring $R$ is called left N-reflexive if the zero ideal is left N-reflexive.
Harmancı, Abdullah +3 more
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On the Existence of Ad-Nilpotent Elements [PDF]
Proceedings of the American Mathematical Society, 1977 A condition sufficient to guarantee the nilpotence of a derivation of a Lie algebra is given. It is used to obtain an elementary proof that a finite dimensional Lie algebra over an algebraically closed field of arbitrary characteristic necessarily contains an ad-nilpotent element.
Benkart, G. M., Isaacs, I. M.
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