Results 11 to 20 of about 39,950 (199)

Nilpotent orbits over ground fields of good characteristic

Mathematische Annalen, 2004
Let X be an F-rational nilpotent element in the Lie algebra of a connected and reductive group G defined over the ground field F. Suppose that the Lie algebra has a non-degenerate invariant bilinear form.
McNinch, George J.
core   +3 more sources

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
doaj   +1 more source

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
doaj   +1 more source

On the finite $W$-algebra for the Lie superalgebra Q(N) in the non-regular case [PDF]

, 2017
In this paper we study the finite W-algebra for the queer Lie superalgebra Q(n) associated with the non-regular even nilpotent coadjoint orbits in the case when the corresponding nilpotent element has Jordan blocks each of size l.
Poletaeva, Elena, Serganova, Vera
core   +3 more sources

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
doaj   +1 more source

Finite W-algebras for glN [PDF]

, 2018
We study the quantum finite W -algebras W (glN, f ), associ-ted to the Lie algebra glN, and its arbitrary nilpotent element f . We construct for such an algebra an r1× r1 matrix L(z) of Yangian type, where r1 is the number of maximal parts of the ...
De Sole, Alberto, Kac, Victor G., Valeri, Daniele   +2 more
core   +1 more source

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
doaj   +1 more source

On divisible weighted Dynkin diagrams and reachable elements [PDF]

, 2010
Let D(e) denote the weighted Dynkin diagram of a nilpotent element $e$ in complex simple Lie algebra $\g$. We say that D(e) is divisible if D(e)/2 is again a weighted Dynkin diagram.
AG Elashvili, B Kostant, D Panyushev, D Panyushev, D Panyushev, DH Collingwood, Dmitri Panyushev   +6 more
core   +1 more source

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
doaj   +1 more source

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.
openaire   +2 more sources