Prime and principal closed ideals in polynomial rings

DOI10.1016/0021-8693(90)90210-FzbMath0702.16002MaRDI QIDQ914794

Miguel Ferrero

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

polynomial ringprime idealsextended centroidprime ringirreducible elementmaximal right quotient ringprincipal closed ideals

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Ideals in associative algebras (16D25)

Related Items (13)

SURJECTIVITY of the IDEAL EXTENSION MAP ⋮ Centred bimodules over prime rings: Closed submodules and applications to ring extensions ⋮ Prime and maximal ideals in polynomial rings ⋮ Prime ideals in polynomial rings in several indeterminates ⋮ Closed and prime ideals in free centred extensions ⋮ Polynomial rings over nil rings cannot be homomorphically mapped onto rings with nonzero idempotents ⋮ Prime ideals of ore extensions ⋮ Unitary strongly prime rings and related radicals. ⋮ Actions of algebraic groups on the spectrum of rational ideals. II ⋮ Invariant polynomials of Ore extensions by $q$-skew derivations ⋮ CLOSED AND PRIME IDEALS IN PARTIAL SKEW GROUP RINGS OF ABELIAN GROUPS ⋮ Derivations and Skew Polynomial Rings ⋮ A Note on Jacobson Rings and Polynomial Rings

Cites Work

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• Prime rings satisfying a generalized polynomial identity
• Polynomial rings over finite dimensional rings
• The strongly prime radical of crossed products
• The strongly prime radical of an ore extension
• Skew Polynimials and Jacobson Rings
• Strongly Prime Rings

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