Results 51 to 60 of about 398 (77)

Schwinger-Dyson operator of Yang-Mills matrix models with ghosts and derivations of the graded shuffle algebra

, 2008
We consider large-N multi-matrix models whose action closely mimics that of Yang-Mills theory, including gauge-fixing and ghost terms. We show that the factorized Schwinger-Dyson loop equations, expressed in terms of the generating series of gluon and ...
Akant L, Eynard B, Govind S Krishnaswami, Kazakov V A, Krishnaswami G S, Makeenko Y, Makeenko Y M, Reutenauer C   +7 more
core   +2 more sources

Skew $N$-Derivations on Semiprime Rings [PDF]

, 2012
For a ring $R$ with an automorphism $\sigma$, an $n$-additive mapping $\Delta:R\times R\times... \times R \rightarrow R$ is called a skew $n$-derivation with respect to $\sigma$ if it is always a $\sigma$-derivation of $R$ for each argument.
Wei Zhang, Wei Zhang, Xiaowei Xu, Xiaowei Xu, Yang Liu, Yang Liu   +5 more
core   +1 more source

Two-Local derivations on associative and Jordan matrix rings over commutative rings

, 2017
In the present paper we prove that every 2-local inner derivation on the matrix ring over a commutative ring is an inner derivation and every derivation on an associative ring has an extension to a derivation on the matrix ring over this associative ring.
Arzikulov, Farhodjon, Ayupov, Shavkat
core   +1 more source

On certain functional equation related to derivations

Open Mathematics
In this article, we prove the following result. Let n≥3n\ge 3 be some fixed integer and let RR be a prime ring with char(R)≠(n+1)!2n−2{\rm{char}}\left(R)\ne \left(n+1)\!{2}^{n-2}.
Marcen Benjamin, Vukman Joso
doaj   +1 more source

On Equality of Certain Derivations of Lie Algebras

Discussiones 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, Saeedi Farshid, Alemi Mohammad Reza   +2 more
doaj   +1 more source

Jordan Derivations and Antiderivations of Generalized Matrix Algebras [PDF]

, 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  

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

Demonstratio 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

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

Open 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

Outcomes of fertility preservation treatments in patients with endometrial cancer with different molecular classifications based on an NGS panel. [PDF]

Front Oncol, 2023
Xu Y, Zhao M, Zhang L, Wang T, Wang B, Xue Y, Xu Z, Shao W, Chen X, Wang C.   +9 more
europepmc   +1 more source

Purely Inseparable Ring Extensions and Azumaya Algebras [PDF]

, 1999
Ikehata, Shuichi
core   +1 more source