Co-Hopfian modules of generalized inverse polynomials

DOI10.1007/s101140000044zbMath1005.16042OpenAlexW2034673232MaRDI QIDQ5946543

Liu, Zhongkui, Yuan Fan

Publication date: 19 November 2002

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

Full work available at URL: https://doi.org/10.1007/s101140000044

zbMATH Keywords

generalized power seriesco-Hopfian modulesgeneralized inverse polynomials

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Other classes of modules and ideals in associative algebras (16D80)

Related Items (3)

CO-HOPFIAN ABELIAN GROUPS ⋮ Attached prime ideals of generalized inverse polynomial modules ⋮ Generalized Inverse Power Series Modules

Cites Work

• Unnamed Item
• Noetherian rings of generalized power series
• Hopfian and co-Hopfian objects
• A note on the Hopficity of \(M[X\) or \(MX\)]
• Rings of generalized power series. II: Units and zero-divisors
• Semisimple rings and von Neumann regular rings of generalized power series
• Special properties of generalized power series
• A Generalization of hilber's basis theorem
• PF-rings of generalised power series
• Inverse polynomials and injective covers
• Hopfian modules and co-hopfian modules
• Group identities on units of locally finite algebras and twisted group algebras

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