A characterization of 2-primal and NI rings over skew inverse Laurent series rings

DOI10.1142/S0219498819502219zbMath1430.16033OpenAlexW2902859808WikidataQ128894514 ScholiaQ128894514MaRDI QIDQ5206051

Kamal Paykan, Abdolreza Tehranchi

Publication date: 17 December 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819502219

zbMATH Keywords

minimal prime idealprime radicalupper nilradical2-primalNIskew inverse Laurent series ringskew inverse power series ring

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) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Associative rings and algebras arising under various constructions (16S99)

Related Items (3)

Some characterizations of 2-primal skew generalized power series rings ⋮ Unnamed Item ⋮ Some new results on skew inverse Laurent series rings

Cites Work

• Centralizers in differential, pseudo-differential, and fractional differential operator rings
• Structure and topological conditions of NI rings.
• Noetherian skew inverse power series rings.
• Laurent series rings and pseudo-differential operator rings.
• Noncommutative rings in which every prime ideal is contained in a unique maximal ideal
• Nil ideals in rings with finite Krull dimension
• Polynomial extensions of quasi-Baer rings.
• ON 2-PRIMAL ORE EXTENSIONS
• Special properties of differential inverse power series rings
• Skew polynomial rings over 2-primal rings
• Primeness, semiprimeness and prime radical of ore extensions
• Questions on 2-primal rings
• On minimal strongly prime ideals
• Differential Inverse Power Series Rings with Quasi-Armendariz-like Condition
• Study of skew inverse Laurent series rings
• Prime Ideals and Sheaf Representation of a Pseudo Symmetric Ring
• Skew inverse power series rings over a ring with projective socle
• Nil Rings Satisfying Certain Chain Conditions
• Primitivity of skew inverse Laurent series rings and related rings
• ORE EXTENSIONS OF 2-PRIMAL RINGS
• Nil Subrings of Goldie Rings are Nilpotent
• Zero Divisors and Nilpotent Elements in Power Series Rings
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