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Reports tagged with Amitsur-Levitzki Theorem:
TR13-185 | 24th December 2013
Fu Li, Iddo Tzameret

Generating Matrix Identities and Proof Complexity Lower Bounds

Revisions: 3

Motivated by the fundamental lower bounds questions in proof complexity, we investigate the complexity of generating identities of matrix rings, and related problems. Specifically, for a field $\mathbb{F}$ let $A$ be a non-commutative (associative) $\mathbb{F}$-algebra (e.g., the algebra Mat$_d(\mathbb{F})\;$ of $d\times d$ matrices over $\mathbb{F}$). We say that a non-commutative ... more >>>

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