Noetherian Generalized Power Series Rings

DOI10.1081/AGB-120027958zbMath1062.16049MaRDI QIDQ3154500

Gary Brookfield

Publication date: 14 January 2005

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

zbMATH Keywords

ordered monoidsgeneralized power series ringsleft Noetherian rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (7)

Malcev rings ⋮ Goldie ranks of skew generalized power series rings ⋮ TRIANGULAR MATRIX REPRESENTATION OF SKEW GENERALIZED POWER SERIES RINGS ⋮ Triangular matrix representations of rings of generalized power series. ⋮ Noetherian properties in composite generalized power series rings ⋮ S-Noetherian Properties of Composite Ring Extensions ⋮ Chain Conditions on Convolution Rings

Cites Work

• Noetherian rings of generalized power series
• Well quasi-ordered sets and ideals in free semigroups and algebras
• Rings of generalized power series. II: Units and zero-divisors
• Commutative Noetherian semigroups are finitely generated
• NOETHERIAN GENERALIZED POWER SERIES RINGS AND MODULES
• GENERALIZED POWER SERIES MODULES
• On the hilbert basis theorem
• Ordering by Divisibility in Abstract Algebras

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