Results 31 to 40 of about 205,098 (159)

Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra

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   +1 more source

Strongly Ad-Nilpotent Elements of the Lie Algebra of Upper Triangular Matrices

Journal of Mathematics, 2022
In this paper, the strongly ad-nilpotent elements of the Lie algebra tn,ℂ of upper triangular complex matrices are studied. We prove that all the nilpotent matrices in tn,ℂ are strongly ad-nilpotent if and only if n≤6. Additionally, we prove that all the
Zhiguang Hu
doaj   +1 more source

The Algebra of $S^2$-Upper Triangular Matrices [PDF]

arXiv, 2023
Based on work presented in [4], we define $S^2$-Upper Triangular Matrices and $S^2$-Lower Triangular Matrices, two special types of $d\times d(2d-1)$ matrices generalizing Upper and Lower Triangular Matrices, respectively. Then, we show that the property that the determinant of an Upper Triangular Matrix is the product of its diagonal entries is ...
arxiv  

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

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   +1 more source

Derivations of certain operator algebras

International Journal of Mathematics and Mathematical Sciences, 2000
Let 𝒩 be a nest and let 𝒜 be a subalgebra of L(H) containing all rank one operators of alg 𝒩. We give several conditions under which any derivation δ from 𝒜 into L(H) must be inner.
Jiankui Li, Hemant Pendharkar
doaj   +1 more source

Primitive Triangular UHF Algebras

Journal of Functional Analysis, 1998
AbstractWe prove that a large class of triangular UHF algebras are primitive. We use two avenues to obtain our results: a direct approach in which we explicitly construct a faithful, algebraically irreducible representation of the algebra on a separable Hilbert space, as well as an indirect, algebraic approach which utilizes the prime ideal structure ...
Timothy D. Hudson, Elias G. Katsoulis
openaire   +2 more sources

Triangular UHF algebras

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 ...
openaire   +2 more sources

Operators on triangular algebras

Linear Algebra and its Applications, 2016
Abstract We study the algebra of differential operators on the triangular algebras and the upper triangular algebras. We further identify all the ideals of the algebra of differential operators on the upper triangular algebras.
M. Sumanth Datt, Uma N. Iyer, G. Koteswara Rao   +2 more
openaire   +2 more sources

Left Ideal Preserving Maps on Triangular Algebras [PDF]

, 2018
Let A be a unital algebra over a commutative unital ring R. We say that A is a SLIP algebra if every R-linear map on A that leaves invariant every left ideal of A is a left multiplier. In this paper we study whether a triangular algebra Tri(A,M,B) is a SLIP algebra and give some necessary or sufficient conditions for a triangular algebra be a SLIP ...
arxiv   +1 more source

Biderivations of triangular algebras

Linear Algebra and its Applications, 2009
AbstractLet A be a triangular algebra. A bilinear map φ:A×A→A is called a biderivation if it is a derivation with respect to both arguments. In this paper we define the concept of an extremal biderivation, and prove that under certain conditions a biderivation of a triangular algebra A is a sum of an extremal and an inner biderivation.
openaire   +3 more sources