Results 61 to 69 of about 299 (69)
Lie n-multiplicative mapping on Triangular n-Matrix Rings [PDF]
arXiv, 2018 In this paper we extend to triangular n-matrix rings and Lie n-multiplicative map a result about Lie multiplicative maps on triangular algebras due to Xiaofei Qi and Jinchuan Hou.
arxiv
Rings of constants of linear derivations on Fermat rings [PDF]
arXiv, 2018 In this paper we characterize all the linear $\mathbb{C}$-derivations of the Fermat ring. We show that the Fermat ring has linear $\mathbb{C}$-derivations with trivial ring of constants and construct some examples.
arxiv
Generalized (m,n)-Jordan centralizers and derivations on semiprime rings [PDF]
arXiv, 2018 In this article, we prove Conjecture $1$ posed in 2013 by Fo$\check{s}$ner \cite{fos} and Conjecture $1$ posed in 2014 by Ali and Fo$\check{s}$ner \cite{ali} related to generalized $(m,n)$-Jordan centralizer and derivation respectively.
arxiv
A characterization of quiver algebras based on double derivations [PDF]
arXiv, 2008 Let k a characteristic zero field. We give a characterization for the finite quiver k-algebras, based on double derivations. More precisely, we prove that if an associative and unitary k-algebra have a family of double derivations satisfying suitable conditions, then it is (canonically isomorphic to) a quiver algebra.
arxiv
Algebras of quotients of graded Lie algebras [PDF]
arXiv, 2009 In this paper we explore graded algebras of quotients of Lie algebras with special emphasis on the 3-graded case and answer some natural questions concerning its relation to maximal Jordan systems of quotients.
arxiv
The Weitzenböck derivations and classical invariant theory. II. The symbolic method [PDF]
Serdica Math. J. 2011. V.37. No. 2. P.87-106, 2010 A method based on the symbolic methods of the classical invariant theory is developed for a representation of elements of kernel of Weitzenb\"ok derivations.
arxiv
Linear super-commuting maps and super-biderivations on Hom-lie superalgebras [PDF]
arXivThis paper investigates the fundamental connections between linear super-commuting maps, super-biderivations, and centroids in Hom-Lie superalgebras under certain conditions. Our work generalizes the results of Bresar and Zhao on Lie algebras.
arxiv
Study of dynamical symmetrietry algebra of $Ψ_2$-Humbert function [PDF]
arXivThe study is devoted to the construction of dynamical symmetry algebra of confluent hypergeometric function $_1F_1$ and $\Psi_2$-Humbert function and to derive some generating relations and reduction formulas for $_1F_1$ and $\Psi_2$ functions.
arxiv