Results 1 to 10 of about 809,033 (313)
Waring problem for triangular matrix algebra [PDF]
Linear Algebra and its Applications, 2023 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 ...
Rahul Kaushik, Anupam Singh
semanticscholar +3 more sources
Generalized Lie n-derivations on arbitrary triangular algebras
Open Mathematics, 2023 In this study, we consider generalized Lie nn-derivations of an arbitrary triangular algebra TT through the constructed triangular algebra T0{T}_{0}, where T0{T}_{0} is constructed using the notion of maximal left (right) ring of quotients.
Yuan He, Liu Zhuo
doaj +2 more sources
The structure of hyperreducible triangular algebras [PDF]
Proceedings of the American Mathematical Society, 1964 Introduction. In [5] Kadison and Singer have defined triangular algebras of operators on a Hilbert space and have investigated a number of their properties with the major emphasis on classification and examples. It is the purpose of this paper to give a new construction for the hyperreducible algebras which gives some additional insight into their ...
John Schue
openalex +2 more sources
A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras
Journal of Mathematics, 2021 In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation.
Xiuhai Fei, Haifang Zhang
doaj +2 more sources
Infinite Lexicographic Products of Triangular Algebras [PDF]
Bulletin of the London Mathematical Society, 1994 Some new connections are given between linear orderings and triangular operator algebras. A lexicograhic product is defined for triangular operator algebras and the Jacobson radical of an infinite lexicographic product of upper triangular matrix algebras is determined.
S. C. Power
openalex +5 more sources
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
V. Boyko, J. Patera, Roman O. Popovych
openalex +5 more sources
Additivity of Maps on Triangular Algebras [PDF]
The Electronic Journal of Linear Algebra, 2007 11 ...
Xuehan Cheng, Wu Jing
openalex +4 more sources
Triangular Hopf algebras with the Chevalley property [PDF]
Michigan Mathematical Journal, 2001 We say that a Hopf algebra has the Chevalley property if the tensor product of any two simple modules over this Hopf algebra is semisimple. In this paper we classify finite dimensional triangular Hopf algebras with the Chevalley property, over the field of complex numbers.
Nicolás Andruskiewitsch +2 more
openalex +5 more sources
Jordan derivations of triangular algebras
Linear Algebra and its Applications, 2006 AbstractIn this note, it is shown that every Jordan derivation of triangular algebras is a derivation.
Zhang Jian-hua, Weiyan Yu
openalex +3 more sources
Algebraic isomorphisms and spectra of triangular limit algebras
Indiana University Mathematics Journal, 2001 We show that the spectrum of a triangular regular limit algebra (TAF algebra) is an invariant for algebraic isomorphism. Combining this with previous results provides a striking rigidity property: two triangular regular limit algebras are algebraically isomorphic if and only if they are isometrically isomorphic.
Allan P. Donsig +2 more
openalex +3 more sources