Results 101 to 110 of about 886,706 (230)
Involutions for upper triangular matrix algebras
Advances in Applied Mathematics, 2006 The first result in the paper under review is the description of the involutions of the first kind (which fix the centre) of the algebra \(UT_n(F)\) of \(n\times n\) upper triangular matrices over a field of characteristic different from 2. The authors show that, up to isomorphism of algebras with involution, there are two types of involutions.
DI VINCENZO, Onofrio Mario +2 more
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Automophisms of Nil-Triangular Subrings of Algebras Chevalley Type $G_2$ Over Integral Domain. I
Известия Иркутского государственного университета: Серия "Математика"Let $N\Phi(K)$ be the nil-triangular subalgebra of the Chevalley algebra over an associative commutative ring $K$ with the identity associated with a root system $\Phi$.
A. V. Kazakova
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The Lattice of Ideals of a Triangular AF Algebra
, 1996 We study triangular AF (TAF) algebras in terms of their lattices of closed two-sided ideals. Not (isometrically) isomorphic TAF algebras can have isomorphic lattices of ideals; indeed, there is an uncountable family of pairwise non-isomorphic algebras ...
Allan P. Donsig, Timothy D. Hudson
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Algorithms and Data Structures for Sparse Polynomial Arithmetic
Mathematics, 2019 We provide a comprehensive presentation of algorithms, data structures, and implementation techniques for high-performance sparse multivariate polynomial arithmetic over the integers and rational numbers as implemented in the freely available Basic ...
Mohammadali Asadi +3 more
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Cyclic amenability of Lau product and module extension Banach algebras
پژوهشهای ریاضی, 2022 Introduction The notion of weak amenability for commutative Banach algebras was introduced and studied for the first time by Bade, Curtis and Dales. Johnson extended this concept to the non commutative case and showed that group algebras of all locally ...
Mohammad Ramezanpour, Mahdieh Alikahi
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Triangular UHF algebras over arbitrary fields [PDF]
Proceedings of the American Mathematical Society, 1995 Let K be an arbitrary field. Let ( q n ) ({q_n}) be a sequence of positive integers, and let there be given a family { Ψ n m | n
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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 ...
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Massey products and deformations
, 1996 The classical deformation theory of Lie algebras involves different kinds of Massey products of cohomology classes. Even the condition of extendibility of an infinitesimal deformation to a formal one-parameter deformation of a Lie algebra involves Massey
Fuchs, Dmitry, Lang, Lynelle
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Lie triple derivations of triangular algebras
Linear Algebra and its Applications, 2012 Let \(R\) be a 2-torsion free commutative ring with identity element, \(A\) and \(B\) unital \(R\)-algebras, and \(M\) an \(A\)-\(B\) bi-module that is faithful on each side. These define a formal triangular algebra \(T(A,M,B)=T=A\oplus M\oplus B\) as an additive group, with \((a,m,b)\cdot(a',m',b')=(aa',am'+mb',bb')\) the multiplication in \(T\). Note
Xiao, Zhankui, Wei, Feng
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Block Triangularization of Algebras of Matrices
Linear Algebra and its Applications, 1980 AbstractThis paper is concerned with the interdependence of the irreducible constituents of an algebra of n × n matrices over a field F. It is shown that there is a similarity transformation reducing the algebra to a block triangular form in which, ateach pair of diagonal places, the blocks either are always equal or may be occupied by any entries from
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