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• W3126938352 abstract "We consider applications of a finitary version of the Affine Representability theorem, which follows from recent work of Belov-Kanel, Rowen, and Vishne. Using this result we are able to show that when given a finite set of polynomial identities, there is an algorithm that terminates after a finite number of steps which decides whether these identities force a ring to be commutative. We then revisit old commutativity theorems of Jacobson and Herstein in light of this algorithm and obtain general results in this vein. In addition, we completely characterize the homogeneous multilinear identities that imply the commutativity of a ring." @default.
• W3126938352 created "2021-02-15" @default.
• W3126938352 creator A5012544320 @default.
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• W3126938352 date "2022-04-05" @default.
• W3126938352 modified "2023-09-25" @default.
• W3126938352 title "Affine representability and decision procedures for commutativity theorems for rings and algebras" @default.
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• W3126938352 doi "https://doi.org/10.1007/s11856-022-2309-3" @default.
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