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math.AC2025
On combinatorial algebras generated by three commuting matrices
Ron Cherny, Tam An Le Quang, Matthew Satriano
Motzkin and Taussky (and independently, Gerstenhaber) proved that the unital algebra generated by a pair of commuting matrices over a field has dimension at most . S…
math.AC2024
On the algebra generated by three commuting matrices: combinatorial cases
Ron Cherny, Matthew Satriano, Yohan Song
Gerstenhaber proved in 1961 that the unital algebra generated by a pair of commuting matrices over a field has dimension at most . It is an open problem whether the…