Results 91 to 100 of about 886,706 (230)

A model for the relatively free graded algebra of block triangular matrices with entries from a graded algebra

, 2013
Let G be a group and A be a G-graded algebra satisfying a polynomial identity. We buid up a model for the relative free G-graded algebra and we obtain, as an application, the "factoring" property for the T_G-ideals of block triangular matrices with ...
Centrone, Lucio, de Mello, Thiago Castilho   +1 more
core  

Nonlinear generalized Jordan (σ, Γ)-derivations on triangular algebras

Special Matrices, 2018
Let R be a commutative ring with identity element, A and B be unital algebras over R and let M be (A,B)-bimodule which is faithful as a left A-module and also faithful as a right B-module.
Alkenani Ahmad N., Ashraf Mohammad, Jabeen Aisha   +2 more
doaj   +1 more source

Waring problem for triangular matrix algebra

Linear Algebra and its Applications
The Matrix Waring problem is if we can write every matrix as a sum of $k$-th powers. Here, we look at the same problem for triangular matrix algebra $T_n(\mathbb{F}_q)$ consisting of upper triangular matrices over a finite field. We prove that for all integers $k, n \geq 1$, there exists a constant $\mathcal C(k, n)$, such that for all $q> \mathcal ...
Kaushik, Rahul, Singh, Anupam
openaire   +3 more sources

k-Commuting maps on triangular algebras

Linear Algebra and its Applications, 2012
In this paper, \(k\)-commuting maps on certain triangular algebras are determined. As an application it is shown that every \(k\)-commuting map on an upper triangular matrix algebra over a unital commutative ring of 2-torsion free or a nest algebra is proper.
Du, Yiqiu, Wang, Yu
openaire   +2 more sources

More on Weak Amenability of Triangular Banach Algebras [PDF]

Sahand Communications in Mathematical Analysis
For two Banach algebras $A$ and $B$ and a Banach $(A,B)$-module $X$, let $\mathrm{Tri}(A,X,B)$ be the corresponding triangular Banach algebra. In this paper, among other things, we give some characterizations of $n$-weak amenability of $\mathrm{Tri}(A,X ...
Mahdieh Alikahi, Mohammad Ramezanpour
doaj   +1 more source

Automorphisms of the Lie algebra of strictly upper triangular matrices over a commutative ring

, 2001
Let R be an arbitrary commutative ring with identity. Denote by n(R) the Lie algebra over R consisting of all strictly upper triangular (n+1)×(n+1) matrices over R with n⩾3. In addition, for n=3 assume that the annihilator of 2 in R is zero.
You'an Cao, Zuowen Tan
semanticscholar   +1 more source

Additivity of maps on triangular algebras

The Electronic Journal of Linear Algebra, 2008
11 ...
Cheng, Xuehan, Jing, Wu
openaire   +2 more sources

Characterization of Generalized Derivations Associate with Hochschild 2-Cocycles on Triangular Banach Algebras

Journal of Mathematical Extension, 2015
Let A and B be unital Banach algebras and M be a left A-module and right B-module. We consider generalized derivations associate with Hochschild 2-cocycles on triangular Banach algebra T (related to A, B and M).
M. Kanani Arpatapeh∗, A. Jabbari
doaj  

The Ribbon Elements of the Quantum Double of Generalized Taft–Hopf Algebra

Mathematics
Let s, t be two positive integers and k be an algebraically closed field with char (k)∤st. We show that the Drinfeld double D(⋀st,t*cop) of generalized Taft–Hopf algebra ⋀st,t*cop has ribbon elements if and only if t is odd.
Hua Sun, Yuyan Zhang, Ziliang Jiang, Mingyu Huang, Jiawei Hu   +4 more
doaj   +1 more source

A note on algebra automorphisms of strictly upper triangular matrices over commutative rings

, 2000
In this note, we explicitly describe the automorphism group of the R-algebra of strictly upper triangular n×n matrices over an arbitrary commutative ring.
You'an Cao, Jingtong Wang
semanticscholar   +1 more source