Results 31 to 40 of about 40,826 (196)
On the derivations of Leibniz algebras of low dimension
Доповiдi Нацiональної академiї наук України, 2023 Let L be an algebra over a field F. Then L is called a left Leibniz algebra if its multiplication operations [×, ×] addition- ally satisfy the so-called left Leibniz identity: [[a,b],c] = [a,[b,c]] – [b,[a,c]] for all elements a, b, c Î L. In this paper,
L.A. Kurdachenko +2 more
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On finite groups whose Sylow subgroups have a bounded number of generators [PDF]
, 2010 Let G be a finite non-nilpotent group such that every Sylow subgroup of G is generated by at most d elements, and such that p is the largest prime dividing |G|.
Reid, Colin D.
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Logarithmic W-algebras and Argyres-Douglas theories at higher rank
Journal of High Energy Physics, 2018 Families of vertex algebras associated to nilpotent elements of simply-laced Lie algebras are constructed. These algebras are close cousins of logarithmic W-algebras of Feigin and Tipunin and they are also obtained as modifications of semiclassical ...
Thomas Creutzig
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Nilpotent elements in physics [PDF]
Journal of Physical Studies, 2007 Institute of Theoretical Physics, University of Wroclaw,pl. M. Borna 9, 50–204 Wroclaw, Poland(Received January 4, 2007)We briefly review some issues of the nilpotent objects in theoretical physics using simple modelsas an illustration. Nilpotent elements appear at quantum and classical level in several ways.
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Natural Filtrations of Infinite-Dimensional Modular Contact Superalgebras
Journal of Applied Mathematics, 2014 The natural filtration of the infinite-dimensional contact superalgebra over an algebraic closed field of positive characteristic is proved to be invariant under automorphisms by characterizing ad-nilpotent elements and the subalgebras generated by ...
Qiang Mu
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Semicanonical bases and preprojective algebras II: A multiplication formula [PDF]
, 2006 Let $n$ be a maximal nilpotent subalgebra of a complex symmetric Kac-Moody Lie algebra. Lusztig has introduced a basis of U(n) called the semicanonical basis, whose elements can be seen as certain constructible functions on varieties of nilpotent modules
Geiß, Christof +2 more
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Unit-Regularity of Regular Nilpotent Elements [PDF]
Algebras and Representation Theory, 2016 Let $a$ be a regular element of a ring $R$. If either $K:=\rm{r}_R(a)$ has the exchange property or every power of $a$ is regular, then we prove that for every positive integer $n$ there exist decompositions $$ R_R = K \oplus X_n \oplus Y_n = E_n \oplus X_n \oplus aY_n,$$ where $Y_n \subseteq a^nR$ and $E_n \cong R/aR$.
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A description of a class of finite semigroups that are near to being Malcev nilpotent
, 2012 In this paper we continue the investigations on the algebraic structure of a finite semigroup $S$ that is determined by its associated upper non-nilpotent graph $\mathcal{N}_{S}$.
E. JESPERS +3 more
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The Nilpotent Regular Element Problem [PDF]
Canadian Mathematical Bulletin, 2016 AbstractWe use George Bergman’s recent normal form for universally adjoining an inner inverse to show that, for general rings, a nilpotent regular element x need not be unit-regular. This contrasts sharply with the situation for nilpotent regular elements in exchange rings (a large class of rings), and for general rings when all powers of the nilpotent
Pere Ara, Kevin C. O’Meara
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Strongly 2T - Clean Rings [PDF]
Al-Rafidain Journal of Computer Sciences and MathematicsAn 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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