On irreducible and transitive subalgebras in matrix algebras

DOI10.1080/03081080802167880zbMath1181.15022OpenAlexW2009709555MaRDI QIDQ3399121

Tsiu-Kwen Lee, Yiqiang Zhou

Publication date: 29 September 2009

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/183186/1/08.pdf

zbMATH Keywords

centralizerstensor productdivision ringsmatrix ringnon-zero rankirreducible (transitive) subalgebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Algebraic systems of matrices (15A30) Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (2)

On irreducible algebras spanned by triangularizable matrices ⋮ Theorems of Burnside and Wedderburn revisited

Cites Work

• Matrix algebras and Radjavi's trace condition
• A remark on Burnside's theorem on matrix algebras
• On \(F\)-algebras of algebraic matrices over a subfield \(F\) of the center of a division ring
• Sesquitransitive and localizing operator algebras
• On irreducible semigroups of matrices with traces in a subfield
• Burnside's theorem for matrix rings over division rings
• The simplest proof of Burnside's theorem on matrix algebras
• Algebraic prime subalgebras in simple Artinian algebras.
• Burnside's Theorem on Algebras of Matrices
• A Theorem of Burnside on Matrix Rings
• On Rings of Matrices Over Division Rings

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