Jacobson rings and rings strongly graded by an Abelian group

DOI10.1007/BF02765021zbMath0657.16002MaRDI QIDQ1110629

Eric Jespers

Publication date: 1988

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

zbMATH Keywords

semigroup ringsgroup ringJacobson ringstrongly G-graded ringleft Noetherianpolycyclic group ringssubmonoid of an abelian group

Mathematics Subject Classification ID

Group rings (16S34) Graded rings and modules (associative rings and algebras) (16W50) Semigroup rings, multiplicative semigroups of rings (20M25) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (3)

Computing the extended centroid of abelian—group graded rings ⋮ Quotient rings of graded associative rings. I. ⋮ On Jacobson Near-rings and Special Radicals

Cites Work

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• A general notion of noncommutative Krull rings
• Polynomial extensions of Jacobson rings
• The Jacobson radical of semigroup rings of commutative semigroups
• Hilbert rings and the Hilbert Nullstellensatz
• Jacobsonsche Ringe, Hilbertscher Nullstellensatz, Dimensionstheorie
• Radicals Of Polynomial Rings
• Prime ideals of graded rings and related matters
• Group graded rings
• Hilbert subalgebras generated by monomials
• On radicals of graded rings and applications to semigroup rings
• On G-Systems and G-Graded Rings
• Skew Polynimials and Jacobson Rings
• Ore Extensions and Polycyclic Group Rings
• A skew polynomial ring over a jacobson ring need not be a jacobson ring

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