The Jacobson radical of the Laurent series ring.

DOI10.1007/s10958-008-0057-5zbMath1161.16013OpenAlexW2053248370MaRDI QIDQ950844

Askar A. Tuganbaev

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-0057-5

zbMATH Keywords

Jacobson radicalsemiprime ringsprime ringsskew Laurent series ringssemiprimitive ringsprime radicalright Goldie ringsrings of bounded indexrings with right Krull dimension

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Jacobson radical, quasimultiplication (16N20)

Related Items (7)

Nil 𝒢-cleanness and strongly nil 𝒢-cleanness of rings ⋮ Study of skew inverse Laurent series rings ⋮ Primitivity of skew inverse Laurent series rings and related rings ⋮ The Jacobson radical of inverse Laurent power series of rings ⋮ ON CLEAN LAURENT SERIES RINGS ⋮ A fresh look into skew inverse Laurent series rings ⋮ On the Jacobson radical of skew inverse Laurent series ring

Cites Work

• Laurent series rings and pseudo-differential operator rings.
• Biregular rings of Laurent series
• Krull dimension
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