Results 11 to 20 of about 355,626 (313)
Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We express AKNS hierarchies, admitting reductions to matrix NLS and matrix mKdV hierarchies, in terms of a bidifferential graded algebra. Application of a universal result in this framework quickly generates an infinite family of exact solutions ...
Dimakis, Aristophanes +1 more
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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 +1 more
semanticscholar +2 more sources
k-commuting mappings of generalized matrix algebras [PDF]
Periodica Mathematica Hungarica, 2011 In this paper we will study k-commuting mappings of generalized matrix algebras. The general form of arbitrary k-commuting mapping of a generalized matrix algebra is determined.
Yanbo Li, F. Wei, A. Fošner
semanticscholar +4 more sources
Structural matrix algebras, generalized flags, and gradings [PDF]
Transactions of the American Mathematical Society, 2018 We show that a structural matrix algebra $A$ is isomorphic to the endomorphism algebra of an algebraic-combinatorial object called a generalized flag. If the flag is equipped with a group grading, an algebra grading is induced on $A$.
F. Besleaga, S. Dascalescu
semanticscholar +4 more sources
Generalized Lie $ n $-derivations on generalized matrix algebras
AIMS Mathematics<p>Let $ \mathcal{G} $ be a generalized matrix algebra. We show that under certain conditions, each generalized Lie $ n $-derivation associated with a linear map on $ \mathcal{G} $ is a sum of a generalized derivation and a central map vanishing on all $ (n-1) $-th commutators and is also a sum of a generalized inner derivation and a Lie $ n ...
Shan Li, Kaijia Luo, Jiankui Li
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Supertropical matrix algebra III: Powers of matrices and generalized eigenspaces [PDF]
, 2010 We investigate powers of supertropical matrices, with special attention to the role of the coefficients of the supertropical characteristic polynomial (especially the supertropical trace) in controlling the rank of a power of a matrix.
Izhakian, Zur, Rowen, Louis
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More on Lie Derivations of Generalized Matrix Algebras [PDF]
Miskolc Mathematical Notes, 2015 Motivated by the Cheung's elaborate work [Linear Multilinear Algebra, 51 (2003), 299-310], we investigate the construction of a Lie derivation on a generalized matrix algebra and apply it to give a characterization for such a Lie derivation to be proper.
A. Mokhtari, H. R. E. Vishki
semanticscholar +5 more sources
Generalized Quaternions and Matrix Algebra
Afyon Kocatepe University Journal of Sciences and Engineering, 2023 In this paper, we established the connection between generalized quaternion algebra and real (complex) matrix algebras by using Hamilton operators. We obtained real and complex matrices corresponding to the real and complex basis of the generalized quaternions. Also, we investigated the basis features of real and complex matrices. We get Pauli matrices
Erhan ATA, Ümit Ziya SAVCI
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Symmetry, 2023 In this paper, we propose three real representations of a generalized Segre quaternion matrix. We establish necessary and sufficient conditions for the existence of the η-anti-Hermitian solution to a system of constrained matrix equations over the ...
Bai-Ying Ren +2 more
semanticscholar +1 more source
THE EXISTENCE OF SOLUTION OF GENERALIZED EIGENPROBLEM IN INTERVAL MAX-PLUS ALGEBRA
Barekeng, 2023 An eigenproblem of a matrix is where and . Vector and are eigenvector and eigenvalue, respectively. General form of eigenvalue problem is with , .
Siswanto Siswanto
doaj +1 more source