Results 21 to 30 of about 375 (165)
Engel BCI-algebras: an application of left and right commutators [PDF]
Mathematica Bohemica, 2021 We introduce Engel elements in a BCI-algebra by using left and right normed commutators, and some properties of these elements are studied. The notion of $n$-Engel BCI-algebra as a natural generalization of commutative BCI-algebras is introduced, and we ...
Ardavan Najafi, Arsham Borumand Saeid
doaj +1 more source
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
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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.
openaire +1 more source
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
doaj +1 more source
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 $E_n \cong R/aR$.
openaire +3 more sources
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
openaire +1 more source
Regular Nilpotent Elements and Quantum Groups [PDF]
Communications in Mathematical Physics, 1999 23 pages, LaTeX ...
openaire +2 more sources