Special Properties of Rings of Generalized Power Series

DOI10.1081/AGB-120039287zbMath1067.16064OpenAlexW2007034585MaRDI QIDQ3158303

Liu, Zhongkui

Publication date: 24 January 2005

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

Full work available at URL: https://doi.org/10.1081/agb-120039287

zbMATH Keywords

2-primal ringsgeneralized power series ringsreduced ringsuniquely clean ringsleft PP-ringsDedekind finite ringstorsion-free cancellative monoids

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60)

Related Items (14)

On zip and weak zip rings of skew generalized power series. ⋮ Some properties of quasi-Armendariz rings and their generalizations ⋮ A factorisation theory for generalised power series and omnific integers ⋮ A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS ⋮ Modules with the Beachy–Blair Condition ⋮ MAL'CEV–NEUMANN SERIES OVER ZIP AND WEAK ZIP RINGS ⋮ TRIANGULAR MATRIX REPRESENTATION OF SKEW GENERALIZED POWER SERIES RINGS ⋮ Triangular matrix representations of rings of generalized power series. ⋮ Unnamed Item ⋮ Baer and Quasi-Baer Properties of Skew Generalized Power Series Rings ⋮ A new class of unique product monoids with applications to ring theory. ⋮ ROTA–BAXTER OPERATORS ON GENERALIZED POWER SERIES RINGS ⋮ Special Properties of Rings of Skew Generalized Power Series ⋮ Some Ring Structures of Skew Genaralized Power Series Rings

Cites Work

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• NOETHERIAN GENERALIZED POWER SERIES RINGS AND MODULES
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• COMMUTATIVE RINGS WHOSE ELEMENTS ARE A SUM OF A UNIT AND IDEMPOTENT
• A note on extensions of Baer and P. P. -rings
• Questions on 2-primal rings
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• Nil Subrings of Goldie Rings are Nilpotent
• PP-rings of generalized power series

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