Prime ideals of ore extensions

DOI10.1080/00927879108824236zbMath0731.16017OpenAlexW1969245951MaRDI QIDQ3356472

Jerzy Matczuk, André Leroy

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00927879108824236

zbMATH Keywords

prime idealsprincipal idealprime ringOre extensionsymmetric Martindale ring of quotients

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ideals in associative algebras (16D25)

Related Items (9)

Centred bimodules over prime rings: Closed submodules and applications to ring extensions ⋮ Simplicity of Ore monoid rings ⋮ A capped optimal stopping problem for the maximum process ⋮ Primeness, semiprimeness and prime radical of ore extensions ⋮ Bottleneck options ⋮ Two-Parameter Analogs of the Heisenberg Enveloping Algebra ⋮ Invariant polynomials of Ore extensions by $q$-skew derivations ⋮ Two-Generated Algebras and Standard-Form Congruence ⋮ Some algebras similar to the 2×2 Jordanian matrix algebra

Cites Work

• Unnamed Item
• Prime and principal closed ideals in polynomial rings
• Prime ideals in differential operator rings and crossed products of infinite groups
• Prime ideals in crossed products of finite groups
• Prime ideals of Ore extensions over commutative rings
• Prime ideals of Ore extensions over commutative rings. II
• Prime Ideals in Skew Polynomial Rings of Derivation Type
• When are all prime ideals in an ore extension goldie?

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