NONCOMMUTATIVE HILBERT RINGS

DOI10.1142/S0219498804000964zbMath1080.16020MaRDI QIDQ4662061

Algirdas Kaučikas, Robert Wisbauer

Publication date: 30 March 2005

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

polynomial ringsBrown-McCoy radicalintersections of maximal idealsJacobson ringsstrongly prime radicalstrongly prime idealsHilbert Nullstellensatzintegral extensionsHilbert ringsliberal extensions

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Centralizing and normalizing extensions (16S20)

Related Items (1)

On feckly clean rings

Cites Work

• Unnamed Item
• Polynomial extensions of Jacobson rings
• On centered and integral homomorphisms
• Unitary strongly prime rings and related radicals.
• Jacobson-rings and Hilbert algebras with polynomial identities
• Hilbert rings and the Hilbert Nullstellensatz
• On strongly prime rings and ideals

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