Malcev rings

DOI10.1515/DMA.2008.017zbMath1218.16038OpenAlexW4206524071MaRDI QIDQ3184534

D. A. Tuganbaev

Publication date: 21 October 2009

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma.2008.017

zbMATH Keywords

filtrationspower series ringsfiltered ringsMalcev-Neumann seriespseudo-differential operator ringsformal skew Laurent series ringsMal'tsev ringsMalcev 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) Rings of differential operators (associative algebraic aspects) (16S32) Mal'tsev rings and algebras (17D10)

Cites Work

• Division algebras generated by finitely generated nilpotent groups
• Centralizers in differential, pseudo-differential, and fractional differential operator rings
• Twisted rational functions and series
• Semisimple rings and von Neumann regular rings of generalized power series
• Noetherian Generalized Power Series Rings
• The Ascending Chain Condition for Principal Ideals of Rings of Generalized Power Series
• Unique factorization in generalized power series rings
• The skew field of fractions of the weyl algebra contains a free noncommutative subalgebra
• Krull dimension of malcev-neumann rings
• Malcev-neumann group rings

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