Centralizing additive maps on rank $ block triangular matrices

2021 ◽  
Vol 87 (12) ◽  
pp. 63-94
Author(s):  
W. L. Chooi ◽  
M. H. A. Mutalib ◽  
L. Y. Tan
Keyword(s):  
Triangular Matrices ◽  
Additive Maps

scholarly journals Jordan triple homomorphisms on $${\mathcal {T}}_\infty (F)$$

2021 ◽  
Author(s):  
Roksana Słowik
Keyword(s):  
Prime Field ◽  
Triangular Matrices ◽  
Upper Triangular Matrices ◽  
Additive Maps

AbstractLet $${\mathcal {T}}_\infty (F)$$ T ∞ ( F ) be the algebra of all $${\mathbb {N}}\times {\mathbb {N}}$$ N × N upper triangular matrices defined over a field F of characteristic different from 2. We consider the Jordan triple homomorphisms of $${\mathcal {T}}_\infty (F)$$ T ∞ ( F ) , i.e. the additive maps that satisfy the condition $$\phi (xyx)=\phi (x)\phi (y)\phi (x)$$ ϕ ( x y x ) = ϕ ( x ) ϕ ( y ) ϕ ( x ) for all $$x,y\in {\mathcal {T}}_\infty (F)$$ x , y ∈ T ∞ ( F ) . For the case when F is a prime field we find the form of all such maps $$\phi $$ ϕ . For the general case we present the form of the surjective maps $$\phi $$ ϕ .

scholarly journals m-commuting Additive Maps on Upper Triangular Matrices Rings

2019 ◽  
pp. 505-514
Author(s):  
Driss Aiat Hadj Ahmed
Keyword(s):  
Commutative Ring ◽  
Matrix Ring ◽  
Triangular Matrix ◽  
Triangular Matrices ◽  
Upper Triangular Matrices ◽  
Additive Map ◽  
Triangular Matrix Ring ◽  
Upper Triangular Matrix ◽  
Additive Maps ◽  
Upper Triangular Matrix Ring

Let $T_{n}(R)$ be the upper triangular matrix ring over a unital commutative ring whose characteristic is not a divisor of $m$. Suppose that $f:T_{n}(R)\rightarrow T_{n}(R)$ is an additive map such that $X^{m}f(X)=f(X)X^{m}$ for all $x \in T_{n}(R),$ where $m\geq 1$ is an integer. We consider the problem of describing the form of the map $X \rightarrow f(X)$.

scholarly journals Some subordination involving polynomials induced by lower triangular matrices

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Saiful R. Mondal ◽  
Kottakkaran Sooppy Nisar ◽  
Thabet Abdeljawad
Keyword(s):  
Unit Disk ◽  
Triangular Matrices ◽  
Cesàro Mean ◽  
Cesaro Mean ◽  
Lower Triangular ◽  
Lower Triangular Matrices

Abstract The article considers several polynomials induced by admissible lower triangular matrices and studies their subordination properties. The concept generalizes the notion of stable functions in the unit disk. Several illustrative examples, including those related to the Cesàro mean, are discussed, and connections are made with earlier works.

On additive maps of prime rings satisfying the engel condition

1997 ◽  
Vol 25 (12) ◽  
pp. 3889-3902 ◽  
Author(s):  
K.L Beidar ◽  
Y Fong ◽  
P.-H Lee ◽  
T.-L Wong
Keyword(s):  
Prime Rings ◽  
Engel Condition ◽  
Additive Maps

A parallel algorithm for functions of triangular matrices

Computing ◽  
1996 ◽  
Vol 57 (1) ◽  
pp. 85-92 ◽  
Author(s):  
Ç. K. Koç ◽  
B. Bakkaloĝlu
Keyword(s):  
Parallel Algorithm ◽  
Triangular Matrices

scholarly journals Additive maps derivable at some points on J-subspace lattice algebras

2008 ◽  
Vol 429 (8-9) ◽  
pp. 1851-1863 ◽  
Author(s):  
Jinchuan Hou ◽  
Xiaofei Qi
Keyword(s):  
Subspace Lattice ◽  
Additive Maps
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