Radicals and polynomial rings

DOI10.1017/S1446788700003554zbMath1007.16012OpenAlexW2153832841MaRDI QIDQ4534459

Richard Wiegandt, Kostia I. Beidar, Edmund R. Puczylowski

Publication date: 11 December 2002

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700003554

zbMATH Keywords

nil ringsKöthe problempolynomial ringsJacobson radical ringsupper radicalsBehrens radicalright strongly prime ringsantiregular radicalright semi-superprime ringssemi-uniformly strongly prime radicalsuniformly strongly prime radicalsuniformly strongly superprime radicals

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) General radicals and associative rings (16N80) Jacobson radical, quasimultiplication (16N20)

Related Items

Konstantin Igorevich Beidar (1951-2004), Polynomial rings over nil rings cannot be homomorphically mapped onto rings with nonzero idempotents, Properties of Different Prime Radicals of Rings and Modules

Cites Work

• Radicals and Morita contexts
• Strongly Prime Rings
• On maximal ideals and the brown-mccoy radical of polynomial rings