A polynomial ring that is Jacobson radical and not nil.

DOI10.1007/BF02772627zbMath1036.16020OpenAlexW2078085677MaRDI QIDQ5951498

Agata Smoktunowicz, Edmund R. Puczylowski

Publication date: 24 April 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02772627

zbMATH Keywords

nil ringspolynomial ringsJacobson radical rings

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

Some Examples of Affine Monoid Algebras, A linear algebra approach to Koethe's problem and related questions, Unnamed Item, Free subalgebras of graded algebras, Torsion subgroups, solvability and the Engel condition in associative rings, On prime ideals and radicals of polynomial rings and graded rings., On nil algebras and a problem of Passman concerning nilpotent free algebras, Polynomial extensions of SCN rings need not be SCN, Quasi-duo skew polynomial rings., Nilpotent ideals in polynomial and power series rings, Polynomial Rings Over Weak Armendariz Rings need not be Weak Armendariz, Simplifying Smoktunowicz's Extraordinary Example

Cites Work

• Polynomial rings over nil rings need not be nil
• Algebras Over Infinite Fields
• Radicals Of Polynomial Rings
• Radicals of semi-group rings
• Logical connections between some open problems concerning nil rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item