Polynomials that force a unital ring to be commutative.

DOI10.1007/s00025-012-0296-0zbMath1276.16033OpenAlexW2008775717MaRDI QIDQ370802

Stephen M. Buckley, Desmond MacHale

Publication date: 19 September 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: http://eprints.maynoothuniversity.ie/4829/1/SB_polynominals.pdf

zbMATH Keywords

commutativity theoremsmonoid ringspolynomial identitiesprimitive polynomialsunital rings

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Generalizations of commutativity (associative rings and algebras) (16U80) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Cites Work

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• Commutativity conditions for rings: 1950-2005.
• Structure theory for algebraic algebras of bounded degree
• The Structure of a Certain Class of Rings

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