Results 51 to 58 of about 377 (58)

Jordan Derivations and Antiderivations of Generalized Matrix Algebras [PDF]

open access: yes, 2012
Let $\mathcal{G}=[A & M N & B]$ be a generalized matrix algebra defined by the Morita context $(A, B,_AM_B,_BN_A, \Phi_{MN}, \Psi_{NM})$. In this article we mainly study the question of whether there exist proper Jordan derivations for the generalized ...
Feng Wei, Leon Van, Wyk, Yanbo Li
core  

On Equality of Certain Derivations of Lie Algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2019
Let L be a Lie algebra. A derivation α of L is a commuting derivation (central derivation), if α (x) ∈ CL (x) (α (x) ∈ Z (L)) for each x ∈ L. We denote the set of all commuting derivations (central derivations) by 𝒟 (L) (Derz (L)).
Amiri Azita   +2 more
doaj   +1 more source

Approximation of additive functional equations in NA Lie C*-algebras

open access: yesDemonstratio Mathematica, 2018
In this paper, by using fixed point method, we approximate a stable map of higher *-derivation in NA C*-algebras and of Lie higher *-derivations in NA Lie C*-algebras associated with the following additive functional ...
Wang Zhihua, Saadati Reza
doaj   +1 more source

Fundamental group of Schurian categories and the Hurewicz isomorphism [PDF]

open access: yes, 2011
Let k be a field. We attach a CW-complex to any Schurian k-category and we prove that the fundamental group of this CW-complex is isomorphic to the intrinsic fundamental group of the k-category. This extends previous results by J.C. Bustamante.
Cibils, Claude   +2 more
core   +2 more sources

Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

open access: yesOpen Mathematics
The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
doaj   +1 more source

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