Constructing Maximal Commutative Subalgebras of Matrix Rings in Small Dimensions

DOI10.1080/00927879708826096zbMath0903.16020OpenAlexW2027504090MaRDI QIDQ4384688

William C. Brown

Publication date: 29 July 1998

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879708826096

zbMATH Keywords

maximal commutative subalgebrasidealizationsfinitely generated faithful modulesfinite dimensional local algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Commutativity of matrices (15A27) Algebraic systems of matrices (15A30) Noncommutative local and semilocal rings, perfect rings (16L30) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (2)

Extremal matrix centralizers ⋮ Maximal and minimal triangular matrices

Cites Work

• Unnamed Item
• The minimal dimension of maximal commutative subalgebras of full matrix algebras
• On maximal commutative algebras of linear transformations
• The dimension of maximal commutative subalgebras of \(K_ n\)
• Maximal Commutative Subalgebras ofn×nMatrices
• Two constructions of maximal commutative subalgebras of n × n matrices

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