Results 11 to 20 of about 128 (117)

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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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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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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Strongly 2T - Clean Rings [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
An element a in a ring R is referred to be strongly 2T-clean (2 – STC element for short), a = Ω-Λ+u, where Ω,Λ are idempotent elements and u is a unit elements of order three.
Zeina Hamady, Nazar Shuker
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Structure of rings with certain conditions on zero divisors

International Journal of Mathematics and Mathematical Sciences, 2006
Let R be a ring such that every zero divisor x is expressible as a sum of a nilpotent element and a potent element of R:x=a+b, where a is nilpotent, b is potent, and ab=ba. We call such a ring a D*-ring.
Hazar Abu-Khuzam, Adil Yaqub
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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, Ramón Esteban-Romero, Luis M. Ezquerro   +2 more
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Amalgamated rings with m-nil clean properties

Ratio Mathematica, 2023
In this paper, we study the transfer of the notion of $m$-nil clean (i.e., a ring in which  every element is a sum of a nilpotent and  an $m$-potent elements) to the amalgamarted rings.
Vijayanand Venkatachalam, Selvaraj Chelliah   +1 more
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Alternative rings without nilpotent elements [PDF]

Proceedings of the American Mathematical Society, 1974
In this paper we show that any alternative ring without nonzero nilpotent elements is a subdirect sum of alternative rings without zero divisors. Andrunakievic and Rjabuhin proved the corresponding result for associative rings by a complicated' process in 1968.
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Force and Shape Control Strategies for Minimum Energy Adaptive Structures

Frontiers in Built Environment, 2020
This work presents force and shape control strategies for adaptive structures subjected to quasi-static loading. The adaptive structures are designed using an integrated structure-control optimization method developed in previous work, which produces ...
Gennaro Senatore, Arka P. Reksowardojo
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Nilpotent elements in Banach algebras [PDF]

Proceedings of the American Mathematical Society, 1973
Let A \mathfrak {A} be an A ∗ {A^\ast } -algebra such that any maximal abelian ∗ ^\ast -subalgebra is regular and such that any quasinilpotent element x in A \mathfrak {A} satisfies
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