Prime ideals and strongly prime ideals of skew Laurent polynomial rings.

DOI10.1155/2008/835605zbMath1165.16024OpenAlexW2010255941WikidataQ58644857 ScholiaQ58644857MaRDI QIDQ1008526

J. Martínez

Publication date: 30 March 2009

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55764

zbMATH Keywords

prime radicalcompletely prime idealsskew Laurent polynomial ringsstrongly prime idealsupper nil radical\(\alpha\)-compatible ideals\(\alpha\)-ideals\(\alpha\)-rigid idealscompletely semiprime ideals

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Ideals in associative algebras (16D25) General radicals and associative rings (16N80)

Related Items

On skew polynomials over Ikeda-Nakayama rings

Cites Work

• Compatible ideals and radicals of Ore extensions.
• Noncommutative rings in which every prime ideal is contained in a unique maximal ideal
• Ore extensions of Baer and p.p.-rings.
• Polynomial extensions of quasi-Baer rings.
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• Bijective Extensions of Injective Ring Endomorphisms
• On minimal strongly prime ideals
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• Prime Ideals and Sheaf Representation of a Pseudo Symmetric Ring
• Rigid Ideals and Radicals of Ore Extensions
• Polynomial extensions of Baer and quasi-Baer rings
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