Partial Skew Polynomial Rings and Goldie Rings

DOI10.1080/00927870802107645zbMath1159.16022OpenAlexW2158227660MaRDI QIDQ3548591

Miguel Ferrero, Wagner Cortes, Hidetoshi Marubayashi

Publication date: 16 December 2008

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

Full work available at URL: https://doi.org/10.1080/00927870802107645

zbMATH Keywords

skew polynomial ringsGoldie rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (12)

Partial Crossed Products and Goldie Rings ⋮ Crossed Products by Twisted Partial Actions: Separability, Semisimplicity, and Frobenius Properties ⋮ Zero-divisor graphs of twisted partial skew generalized power series rings ⋮ The structure of a partial Galois extension ⋮ Partial actions and partial skew group rings. ⋮ Crossed products by twisted partial actions and graded algebras. ⋮ Recent developments around partial actions ⋮ Partial Skew Polynomial Rings Over Semisimple Artinian Rings ⋮ Globalization of twisted partial actions ⋮ Morita equivalence of partial group actions and globalization ⋮ Description of partial actions ⋮ Goldie twisted partial skew power series rings

Cites Work

• Noncommutative valuation rings of the quotient Artinian ring of a skew polynomial ring.
• Partial Skew Polynomial Rings: Prime and Maximal Ideals
• Goldie rank of ore extensions
• Primeness, semiprimeness and prime radical of ore extensions
• Associativity of crossed products by partial actions, enveloping actions and partial representations

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