Some thoughts on Gerstenhaber's theorem

DOI10.1016/j.laa.2014.10.009zbMath1301.13022OpenAlexW1967643139MaRDI QIDQ472434

J. Herrera, Sumit K. Garg

Publication date: 19 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.10.009

zbMATH Keywords

commutative matrix algebrasirreducible matrix varieties

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Software, source code, etc. for problems pertaining to linear algebra (15-04) Canonical forms, reductions, classification (15A21)

Related Items (7)

Components and singularities of Quot schemes and varieties of commuting matrices ⋮ On the dimension of the algebra generated by two positive semi-commuting matrices ⋮ Weyr structures of matrices and relevance to commutative finite-dimensional algebras ⋮ An elementary method to compute the algebra generated by some given matrices and its dimension ⋮ Some Combinatorial Cases of the Three Matrix Analog of Gerstenhaber’s Theorem (Research) ⋮ New classes of examples satisfying the three matrix analog of Gerstenhaber's theorem ⋮ The Gerstenhaber problem for commuting triples of matrices is “decidable”

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