Triangular matrix representations of rings of generalized power series.

DOI10.1007/s10114-005-0555-zzbMath1102.16027OpenAlexW2096792438MaRDI QIDQ2508621

Liu, Zhongkui

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0555-z

zbMATH Keywords

triangulating dimensiongeneralized triangular matrix representationsPWP ringstwisted generalized power series rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Homological dimension in associative algebras (16E10)

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CLEANNESS OF SKEW GENERALIZED POWER SERIES RINGS, Skew generalized power series Hopfian modules., Triangulating dimension of skew generalized power series rings, McCoy property and nilpotent elements of skew generalized power series rings, Triangular matrix representation of differential polynomial rings, Nilpotent elements and nil-Armendariz property of skew generalized power series rings, Principal quasi-Baerness of formal power series rings., Some characterizations of 2-primal skew generalized power series rings, Goldie ranks of skew generalized power series rings, ARCHIMEDEAN SKEW GENERALIZED POWER SERIES RINGS, Uniserial rings of skew generalized power series., Modules with the Beachy–Blair Condition, PS-modules over Ore extensions and skew generalized power series rings, Principally Quasi-Baer skew Generalized Power Series modules, TRIANGULAR MATRIX REPRESENTATION OF SKEW GENERALIZED POWER SERIES RINGS, Left principally quasi-Baer and left APP-rings of skew generalized power series, Weakly principally quasi-Baer skew generalized power series rings, Baer and Quasi-Baer Properties of Skew Generalized Power Series Rings, Archimedean domains of skew generalized power series, Special Properties of Rings of Skew Generalized Power Series, LEFT APP-RINGS OF SKEW GENERALIZED POWER SERIES, Rota–Baxter operators on skew generalized power series rings, Semiprimeness, quasi-Baerness and prime radical of skew generalized power series rings

Cites Work

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• Triangular matrix representations
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• NOETHERIAN GENERALIZED POWER SERIES RINGS AND MODULES
• GENERALIZED POWER SERIES MODULES
• Noetherian Generalized Power Series Rings
• Special Properties of Rings of Generalized Power Series
• Inverse polynomials and injective covers
• Group identities on units of locally finite algebras and twisted group algebras
• Polynomial extensions of Baer and quasi-Baer rings
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