Partial skew group rings over polycyclic by finite groups.

DOI10.1007/s10468-009-9197-7zbMath1256.16016OpenAlexW2053669132MaRDI QIDQ409239

Paula A. A. B. Carvalho, Miguel Ferrero, Wagner Cortes

Publication date: 12 April 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-009-9197-7

zbMATH Keywords

polycyclic-by-finite groupsprime idealsKrull dimensionNoetherian ringspartial actionspartial skew group rings

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Ideals in associative algebras (16D25) Twisted and skew group rings, crossed products (16S35) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (10)

Partial Crossed Products and Goldie Rings ⋮ Partial crossed products and fully weakly prime rings ⋮ Ring theoretic properties of partial crossed products and related themes ⋮ Ring theoretic properties of partial skew groupoid rings with applications to Leavitt path algebras ⋮ Chain conditions for epsilon-strongly graded rings with applications to Leavitt path algebras ⋮ Partial actions and partial skew group rings. ⋮ Recent developments around partial actions ⋮ Morita equivalence of partial group actions and globalization ⋮ Description of partial actions ⋮ Goldie twisted partial skew power series rings

Cites Work

• Partial actions and Galois theory
• Partial actions and partial skew group rings.
• Partial Skew Polynomial Rings: Prime and Maximal Ideals
• Prime Ideals in Polycyclic Crossed Products
• On classical Krull dimension of group-graded rings
• Associativity of crossed products by partial actions, enveloping actions and partial representations
• On the Dimension of Group Rings
• On the Dimension of Group Rings

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