Results 11 to 20 of about 3,056 (285)

Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra [PDF]

International Journal of Mathematics and Mathematical Sciences, 2005
We investigate Jordan automorphisms and Jordan derivations of a class of algebras called generalized triangular matrix algebras. We prove that any Jordan automorphism on such an algebra is either an automorphism or an antiautomorphism and any Jordan ...
Aiat Hadj Ahmed Driss, Ben Yakoub l'Moufadal   +1 more
doaj   +2 more sources

Characteristic Polynomial and Eigenproblem of Triangular Matrix over Interval Min-Plus Algebra [PDF]

JTAM (Jurnal Teori dan Aplikasi Matematika)
A min-plus algebra is a linear algebra over the semiring R_ε', equipped with the operations “"⊕'=min" ” and “⊗=+”. In min-plus algebra, there is the concept of characteristic polynomial obtained from permanent of matrix.
Anita Dwi Rahmawati, Siswanto Siswanto, Supriyadi Wibowo   +2 more
doaj   +3 more sources

Biderivations of triangular algebras [PDF]

Linear Algebra and its Applications, 2009
Let \(C\) be a commutative ring with identity. A `triangular algebra' is every algebra of the form \[ \mathcal A=\text{Tri}(A,M,B) = \begin{pmatrix} A&M \\ 0&B\end{pmatrix}, \] where \(A\) and \(B\) are unital algebras over \(C\) and \(M\) is an \((A,B)\)-bimodule which is faithful as a left \(A\)-module as well as a right \(B\)-module.
Benkovič, Dominik
openaire   +3 more sources

Waring problem for triangular matrix algebra [PDF]

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   +4 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]

Adv Intell Discov
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc   +2 more sources

Triangular UHF algebras [PDF]

Journal of Functional Analysis, 1990
AbstractIn this paper we classify triangular UHF algebras. The generic triangular UHF algebra is constructed as follows. Let (pn) be any sequence of positive integers such that pm|pn whenever m ⩽ n. For each n let Tpn be the algebra of all pn × pn upper triangular complex matrices, and for m ⩽ n, let σpn·pm: Tpm → Tpn be the mapping, x↦1d⊗x, where d ...
Baker, Richard L
openaire   +2 more sources

Graded Identities For The Algebra Of N × N Upper Triangular Matrices Over An Infinite Field [PDF]

, 2015
We consider the algebra Un(K) of n × n upper triangular matrices over an infinite field K equipped with its usual ℤ n-grading. We describe a basis of the ideal of the graded polynomial identities for this algebra.135517526Andrews, G., The theory of ...
Valenti A., Koshlukov P.
core   +3 more sources

Jordan centralizer maps on trivial extension algebras

Demonstratio Mathematica, 2020
The structure of Jordan centralizer maps is investigated on trivial extension algebras. One may obtain some conditions under which a Jordan centralizer map on a trivial extension algebra is a centralizer map. As an application, we characterize the Jordan
Bahmani Mohammad Ali, Ghomanjani Fateme, Shateyi Stanford   +2 more
doaj   +1 more source

Invariants of triangular Lie algebras [PDF]

Journal of Physics A: Mathematical and Theoretical, 2007
Triangular Lie algebras are the Lie algebras which can be faithfully represented by triangular matrices of any finite size over the real/complex number field. In the paper invariants ('generalized Casimir operators') are found for three classes of Lie algebras, namely those which are either strictly or non-strictly triangular, and for so-called special
Boyko, Vyacheslav M., Patera, Jiri, Popovych, Roman   +2 more
openaire   +2 more sources

Y-proper Graded Cocharacters Of Upper Triangular Matrices Of Order M Graded By The M-tuple ϕ=(0, 0, 1,..., M-2) [PDF]

, 2015
Let F be a field of characteristic 0. We consider the algebra UTm(F) of upper triangular matrices of order m endowed with an elementary Zm-grading induced by the m-tuple ϕ=(0, 0, 1,..., m-2), then we compute its Y-proper graded cocharacter sequence and ...
Centrone L., Cirrito A.
core   +5 more sources