Goldie Ranks of Skew Power Series Rings of Automorphic Type

DOI10.1080/00927872.2011.555801zbMath1283.16038arXiv0812.2010OpenAlexW2033459881MaRDI QIDQ2903355

Edward S. Letzter, Linhong Wang

Publication date: 8 August 2012

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

Full work available at URL: https://arxiv.org/abs/0812.2010

zbMATH Keywords

prime idealssemiprime ringsskew power series ringsnoncommutative Noetherian ringsskew Laurent series ringsGoldie rankdirect sums of right ideals

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (5)

Further results on skew Hurwitz series ring. I ⋮ Study of skew inverse Laurent series rings ⋮ Goldie ranks of skew generalized power series rings ⋮ Goldie twisted partial skew power series rings ⋮ Semiprimeness, quasi-Baerness and prime radical of skew generalized power series rings

Cites Work

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• Prime ideals of \(q\)-commutative power series rings.
• Goldie conditions for Ore extensions over semiprime rings.
• Differential operator rings whose prime factors have bounded Goldie dimension
• On the codimension of modules over skew power series rings with applications to Iwasawa algebras.
• Skew Laurent series rings and the maximum condition on right annihilators
• Prime Ideals in Ring Extensions
• Localizations and completions of skew power series rings
• Completions of quantum coordinate rings
• Goloie dimension of differential operator rings
• Goldie rank of ore extensions
• A non-commutative Weierstrass preparation theorem and applications to Iwasawa theory

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