Weyr structures of matrices and relevance to commutative finite-dimensional algebras

DOI10.1016/j.laa.2017.06.021zbMath1382.15017arXiv1703.07181OpenAlexW2672914869MaRDI QIDQ2401298

Yanyan Li

Publication date: 8 September 2017

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

Full work available at URL: https://arxiv.org/abs/1703.07181

zbMATH Keywords

Jordan formhard Lefschetz theoremfinite-dimensional commutative algebrasSierpinski matrixmonomial complete intersection ringWeyr form

Mathematics Subject Classification ID

Graded rings (13A02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Canonical forms, reductions, classification (15A21)

Related Items (2)

The non-Lefschetz locus ⋮ Artinian algebras and Jordan type

Cites Work

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• Some thoughts on Gerstenhaber's theorem
• On dominance and varieties of commuting matrices
• The Weyr Characteristic
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
• A note on commuting pairs of matrices

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