2 papers
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…