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math.RA2012★ 23 cited
Polynomials of small degree evaluated on matrices
Zachary Mesyan
A celebrated theorem of Shoda states that over any field K (of characteristic 0), every matrix with trace 0 can be expressed as a commutator AB-BA, or, equivalently, that the set o…
math.RA2012★ 8 cited
Commutator Leavitt path algebras
Zachary Mesyan
For any field K and directed graph E, we completely describe the elements of the Leavitt path algebra L_K(E) which lie in the commutator subspace [L_K(E),L_K(E)]. We then use this…