Results 31 to 40 of about 35,727 (292)
The group inverse of a triangular matrix
Linear Algebra and its Applications, 1996 Block conditions are given for the group inverse of a triangular matrix over a field to exist. These involve the zero-nonzero Schur complement. Applications are given to idempotent matrices.
Xuzhou Chen, Robert E. Hartwig
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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
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Hochschild Cohomology of Triangular Matrix Algebras
Journal of Algebra, 2000 AbstractWe study the Hochschild cohomology of triangular matrix rings B=R0AMRA , where A and R are finite dimensional algebras over an algebraically closed field K and M is an A-R-bimodule. We prove the existence of two long exact sequences of K-vector spaces relating the Hochschild cohomology of A, R, and B.
Michelena, Sandra, Platzeck, Maria Ines
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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
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Functional identities on upper triangular matrix rings
Open Mathematics, 2020 Let R be a subset of a unital ring Q such that 0 ∈ R. Let us fix an element t ∈ Q. If R is a (t; d)-free subset of Q, then Tn(R) is a (t′; d)-free subset of Tn(Q), where t′ ∈ Tn(Q), tll′$\begin{array}{} t_{ll}' \end{array} $ = t, l = 1, 2, …, n, for any ...
Yuan He, Chen Liangyun
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Representation dimensions of triangular matrix algebras
Linear Algebra and its Applications, 2013 19 ...
Shunhua Zhang, Hongbo Yin
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Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras
Journal of Mathematics, 2021 Gorenstein-projective module is an important research topic in relative homological algebra, representation theory of algebras, triangulated categories, and algebraic geometry (especially in singularity theory).
Dadi Asefa
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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 +2 more
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On the Drazin inverse of anti-triangular block matrices
Electronic Research Archive, 2022 Our aim is to present new expressions for the Drazin inverse of anti-triangular block matrices under some circumstances. Applying the established new formulae for anti-triangular block matrices, we derive explicit representations for the Drazin inverse ...
Daochang Zhang +2 more
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An inverse matrix of an upper triangular matrix can be lower triangular
Discussiones Mathematicae - General Algebra and Applications, 2002 In this note we explain why the group of n £ n upper triangular matrices is deflned usually over commutative ring while the full general linear group is deflned over any associative ring.
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