New classes of examples satisfying the three matrix analog of Gerstenhaber's theorem

DOI10.1016/j.jalgebra.2018.09.020zbMath1400.15018arXiv1711.10109OpenAlexW2963989687WikidataQ129246374 ScholiaQ129246374MaRDI QIDQ1799019

Matthew Satriano, Jenna Rajchgot

Publication date: 18 October 2018

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

Full work available at URL: https://arxiv.org/abs/1711.10109

zbMATH Keywords

commuting matricesGerstenhaber's theoremcommuting scheme

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Commutativity of matrices (15A27) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items

Some Combinatorial Cases of the Three Matrix Analog of Gerstenhaber’s Theorem (Research), The Gerstenhaber problem for commuting triples of matrices is “decidable”

Uses Software

• Macaulay2

Cites Work

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• On varieties of commuting triples. III.
• On varieties of commuting triples. II.
• Some thoughts on Gerstenhaber's theorem
• Commuting pairs in the centralizers of 2-regular matrices
• On dominance and varieties of commuting matrices
• Reducibility of the families of O-dimensional schemes on a variety
• Two-generated commutative matrix subalgebras
• Pairs of Matrices With Property L. II
• Compressed Algebras: Artin Algebras Having Given Socle Degrees and Maximal Length
• Vector bases for two commuting matrices
• The algebra generated by two commuting matrices
• A note on commuting pairs of matrices
• The Geometry of Syzygies
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
• Approximating commuting operators