Maximal Commutative Subalgebras ofn×nMatrices

DOI10.1080/00927879308824808zbMath0796.16021OpenAlexW2025157699MaRDI QIDQ4275272

Frederick W. Call, William C. Brown

Publication date: 10 October 1994

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

Full work available at URL: https://doi.org/10.1080/00927879308824808

zbMATH Keywords

trivial extensionidealizationmaximal commutative matrix algebrafaithful \(R\)-modulesfinite-dimensional, commutative \(k\)-algebra

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Commutativity of matrices (15A27) Algebraic systems of matrices (15A30) Other algebras built from modules (15A78)

Related Items (10)

The length function and matrix algebras ⋮ Classification of matrix subalgebras of length 1. ⋮ On maximal commutative subrings of non-commutative rings ⋮ On the maximal, commutative, subalgebras of 14 by 14 matrices ⋮ Constructing Maximal Commutative Subalgebras of Matrix Rings in Small Dimensions ⋮ NOTES ON THE CONSTRUCTIONS OF MAXIMAL COMMUTATIVE SUBALGEBRA OFM_n(k) ⋮ \(\phi_\varepsilon\)-coordinated modules for vertex algebras ⋮ Commutative matrix subalgebras and length function ⋮ Length computation of matrix subalgebras of special type. ⋮ Maximal commutative subalgebras of matrix algebras

Cites Work

• 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 of K\(_n\) at exponent three
• The algebra generated by two commuting matrices

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