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- W2914796799 abstract "We prove an Amitsur--Levitzki-type theorem for Grassmann algebras, stating that the minimal degree of a standard identity that is a polynomial identity of the ring of $n times n$ matrices over the $m$-generated Grassmann algebra is at least $2leftlfloorfrac{m}{2}rightrfloor+4n-4$ for all $n,mgeq 2$ and this bound is sharp for $m=2,3$ and any $ngeq 2$. The arguments are purely combinatorial, based on computing sums of signs corresponding to Eulerian trails in directed graphs." @default.
- W2914796799 created "2019-02-21" @default.
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- W2914796799 date "2019-01-21" @default.
- W2914796799 modified "2023-09-27" @default.
- W2914796799 title "The Minimal Degree Standard Identity on $M_nE^2$ and $M_nE^3$" @default.
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