Amitsur's Conjecture on Polynomial Rings in <i>n</i> Commuting Indeterminates

DOI10.3318/PRIA.2002.102.2.205zbMath1030.16013OpenAlexW2055182793MaRDI QIDQ4707323

Agata Smoktunowicz

Publication date: 17 November 2003

Published in: Mathematical Proceedings of the Royal Irish Academy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3318/pria.2002.102.2.205

zbMATH Keywords

nil ringsJacobson radicalfree algebraslinear mappingsKöthe conjectureupper nil radicalscountable fieldsalgebras of polynomials in non-commuting indeterminatesGolod-Shafarevich examplepolynomial rings in \(n\) commuting indeterminates

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) General radicals and associative rings (16N80) Jacobson radical, quasimultiplication (16N20)

Related Items (3)

On nil algebras and a problem of Passman concerning nilpotent free algebras ⋮ Polynomial extensions of SCN rings need not be SCN ⋮ Nilpotent ideals in polynomial and power series rings

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