Primitivity of skew polynomial and skew laurent polynomial rings

DOI10.1080/00927879608825699zbMath0863.16020OpenAlexW2092426023MaRDI QIDQ4889387

Jerzy Matczuk, André Leroy

Publication date: 29 October 1996

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

Full work available at URL: https://doi.org/10.1080/00927879608825699

zbMATH Keywords

specialitysymmetric Martindale quotient ringsprimitivityskew Laurent polynomial ringsskew polynomial rings of automorphism typeNoetherian P.I. rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (8)

Simple modules and their essential extensions for skew polynomial rings ⋮ Commutativity and ideals in pre-crystalline graded rings. ⋮ Commutativity and ideals in strongly graded rings. ⋮ The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings. ⋮ Periodic subvarieties of semiabelian varieties and annihilators of irreducible representations ⋮ Critical and injective modules over skew polynomial rings ⋮ Primitivity of skew inverse Laurent series rings and related rings ⋮ On the importance of being primitive

Cites Work

• On the characterization of primitive ideals in enveloping algebras
• Prime ideals in skew polynomial rings and quantized Weyl algebras
• Primitive ideals in enveloping algebras
• Primitive Ideals in Finite Extensions of Noetherian Rings
• Extensions de ore d'anneaux noetheriens á i.p
• Primitive skew Laurent polynomial rings
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