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math.AC2017
New classes of examples satisfying the three matrix analog of Gerstenhaber's theorem
Jenna Rajchgot, Matthew Satriano
In 1961, Gerstenhaber proved the following theorem: if k is a field and X and Y are commuting dxd matrices with entries in k, then the unital k-algebra generated by these matrices…
math.NT2017
Density of orbits of dominant regular self-maps of semiabelian varieties
Dragos Ghioca, Matthew Satriano
We prove a conjecture of Medvedev and Scanlon in the case of regular morphisms of semiabelian varieties. That is, if is a semiabelian variety defined over an algebraically clos…
math.OA2017★ 37 cited
Algebras, Synchronous Games and Chromatic Numbers of Graphs
William Helton, Kyle P. Meyer, Vern I. Paulsen +1
We associate to each synchronous game an algebra whose representations determine if the game has a perfect deterministic strategy, perfect quantum strategy or one of several other…