Partial Skew Polynomial Rings and Jacobson Rings

DOI10.1080/00927870902973904zbMath1202.16023OpenAlexW2012328531MaRDI QIDQ3562344

Wagner Cortes

Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902973904

zbMATH Keywords

prime idealspartial actionspartial skew polynomial rings\(\alpha\)-Jacobson ringsleft primitive idealspartial skew Laurent polynomial ringsstrongly Jacobson rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Ideals in associative algebras (16D25) Jacobson radical, quasimultiplication (16N20)

Related Items (6)

Partial crossed products and fully weakly prime rings ⋮ The structure of a partial Galois extension ⋮ Crossed products by twisted partial actions and graded algebras. ⋮ Recent developments around partial actions ⋮ Globalization of twisted partial actions ⋮ Morita equivalence of partial group actions and globalization

Cites Work

• Partial actions and Galois theory
• Partial actions and partial skew group rings.
• Jacobson radical of skew polynomial rings and skew group rings
• Ore extensions and jacobson rings^∗
• Globalizations of partial actions on nonunital rings
• Partial Skew Polynomial Rings: Prime and Maximal Ideals
• When are all prime ideals in an ore extension goldie?
• The strongly prime radical of an ore extension
• Skew Polynimials and Jacobson Rings
• A skew polynomial ring over a jacobson ring need not be a jacobson ring
• Primeness, semiprimeness and prime radical of ore extensions
• Associativity of crossed products by partial actions, enveloping actions and partial representations

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