Results 31 to 40 of about 809,033 (313)

Orthogonality graph of the algebra of upper triangular matrices [PDF]

, 2016
We study the connectedness and the diameter of orthogonality graphs of upper triangular matrix algebras over arbitrary fields.
B. Bakhadly
semanticscholar   +1 more source

Gradings on the algebra of upper triangular matrices and their graded identities

, 2004
Onofrio M. Di, P. Koshlukov, Angela Valenti, Susan Montgomery   +3 more
semanticscholar   +2 more sources

Nonlinear maps preserving Lie products on triangular algebras

Special Matrices, 2016
In this paper we prove that every bijection preserving Lie products from a triangular algebra onto a normal triangular algebra is additive modulo centre.
Yu Weiyan
doaj   +1 more source

Product of derivations on triangular banach algebras [PDF]

Journal of Hyperstructures, 2017
In this paper, we give a necessary and sufficient condition for the product of two derivations on the triangular Banach algebra to be a derivation. We also study the case where the product of derivations is commutative.
Mohammad Hossein Sattari, Hamid Shafieasl   +1 more
doaj   +1 more source

Quantum double of Heisenberg-Weyl algebra, its universal R-matrix and their representations [PDF]

, 1993
In this paper a new quasi-triangular Hopf algebra as the quantum double of the Heisenberg-Weyl algebra is presented.Its universal R-matrix is built and the corresponding representation theory are studied with the explict construction for the ...
Biedenharn L, Chang-Pu Sun, Drinfeld V G, Fairlie D B, Jimbo M, Jimbo M, Kulish P, Liu X F, Liu X F, Macfarlane A, Mo-Lin Ge, Serre J-P, Sudbery A, Sun C P, Sun C P, Tankhtajian L A   +15 more
core   +2 more sources

Lie triple derivation of the Lie algebra of strictly upper triangular matrix over a commutative ring

, 2009
Hengtai Wang, Qingguo Li
semanticscholar   +2 more sources

On the Tame automorphisms of differential polynomial algebras

AIMS Mathematics, 2020
Let $R\{x,y\}$ be the differential polynomial algebra in two differential indeterminates $x,y$ over a differential domain $R$ with a derivation operator $\delta$.
Zehra Velioǧlu, Mukaddes Balçik
doaj   +1 more source

Batched Triangular Dense Linear Algebra Kernels for Very Small Matrix Sizes on GPUs

ACM Transactions on Mathematical Software, 2019
Batched dense linear algebra kernels are becoming ubiquitous in scientific applications, ranging from tensor contractions in deep learning to data compression in hierarchical low-rank matrix approximation.
A. Charara, D. Keyes, H. Ltaief
semanticscholar   +1 more source

Nilpotent Lie algebras of derivations with the center of small corank

Karpatsʹkì Matematičnì Publìkacìï, 2020
Let $\mathbb K$ be a field of characteristic zero, $A$ be an integral domain over $\mathbb K$ with the field of fractions $R=Frac(A),$ and $Der_{\mathbb K}A$ be the Lie algebra of all $\mathbb K$-derivations on $A$. Let $W(A):=RDer_{\mathbb K} A$ and $L$
Y.Y. Chapovskyi, L.Z. Mashchenko, A.P. Petravchuk   +2 more
doaj   +1 more source

Approximate Biprojectivity of ℓ1-Munn Banach Algebras

Journal of Mathematics, 2022
In the present paper, we study the approximate biprojectivity and weak approximate biprojectivity of ℓ1-Munn Banach algebras when the related sandwich matrix is regular over InvA.
G. Zarei, A. Pourabbas, M. Rostami, A. Sahami   +3 more
doaj   +1 more source