Simplifying Smoktunowicz's Extraordinary Example

DOI10.1080/00927872.2012.695838zbMath1283.16018OpenAlexW2049768538MaRDI QIDQ2855424

Pace P. Nielsen

Publication date: 25 October 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.695838

zbMATH Keywords

nil ringsJacobson radicalpolynomial ringsnil algebrasfree algebras

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Jacobson radical, quasimultiplication (16N20)

Related Items (3)

Reflexive ideals and reflexively closed subsets in rings ⋮ Nilpotent polynomials and nilpotent coefficients ⋮ Infinite dimensional, affine nil algebras \(A \otimes A^{\mathrm{op}}\) and \(A \otimes A\) exist

Cites Work

• Polynomial rings over nil rings need not be nil
• A polynomial ring that is Jacobson radical and not nil.

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