Results 11 to 20 of about 1,061 (223)
Rings in Which Every Element Is a Sum of a Nilpotent and Three 7-Potents [PDF]
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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Congruence-simple semirings without nilpotent elements [PDF]
, 2022 We provide a classification of congruence-simple semirings with a multiplicatively absorbing element and without non-trivial nilpotent ...
Kepka, Tomáš +2 more
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B-Fredholm elements in primitive C*-algebras
Open Mathematics, 2022 Let A{\mathcal{A}} be a unital primitive C∗\ast -algebra. This article studies the properties of the B-Fredholm elements, the B-Weyl elements and the B-Browder elements in A{\mathcal{A}}. Particularly, this article describes the B-Fredholm element as the
Kong Yingying, Jiang Lining
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A Note on Skew Generalized Power Serieswise Reversible Property
International Journal of Analysis and Applications, 2023 The aim of this paper is to introduce and study (S, ω)-nil-reversible rings wherein we call a ring R is (S, ω)-nil-reversible if the left and right annihilators of every nilpotent element of R are equal.
Eltiyeb Ali
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Compact groups with countable Engel sinks
Bulletin of Mathematical Sciences, 2021 An Engel sink of an element g of a group G is a set ℰ(g) such that for every x ∈ G all sufficiently long commutators [...[[x,g],g],…,g] belong to ℰ(g).
E. I. Khukhro, P. Shumyatsky
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Automorphisms of real Lie algebras of dimension five or less [PDF]
, 2013 The Lie algebra version of the Krull-Schmidt Theorem is formulated and proved. This leads to a method for constructing the automorphisms of a direct sum of Lie algebras from the automorphisms of its indecomposable components.
Gray, RJ +8 more
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Some Residual Properties of Finite Rank Groups
Моделирование и анализ информационных систем, 2014 The generalization of one classical Seksenbaev theorem for polycyclic groups is obtained. Seksenbaev proved that if G is a polycyclic group which is residually finite p-group for infinitely many primes p, it is nilpotent. Recall that a group G is said to
D. N. Azarov
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Nilpotent Orbits and Commutative Elements
Journal of Algebra, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan, C.Kenneth, Stembridge, John R.
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Locally quasi-nilpotent elementary operators [PDF]
, 2014 Let A be a unital dense algebra of linear mappings on a complex vector space X. Let φ = Σn i=1 Mai,bi be a locally quasi-nilpotent elementary operator of length n on A. We show that, if {a1, . . .
Nadia Boudi +3 more
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Representatives for unipotent classes and nilpotent orbits [PDF]
, 2022 Let G be a simple algebraic group over an algebraically closed field k of characteristic p. The classification of the conjugacy classes of unipotent elements of G(k) and nilpotent orbits of G on Lie(G) is well-established.
Thomas, Adam +5 more
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