Differential polynomial rings which are generalized Asano prime rings.

DOI10.1007/s13226-013-0035-6zbMath1291.16017OpenAlexW2071226469MaRDI QIDQ395121

Monika R. Helmi, Akira Ueda, Hidetoshi Marubayashi

Publication date: 28 January 2014

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://repo.unand.ac.id/36638/1/differential-polynomial-rings-which-are-generalized-asano-prime-rings_OCR.pdf

zbMATH Keywords

\(\delta\)-stable \(v\)-idealsdifferential polynomial ringsgeneralized Asano prime ringsprime Goldie rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Orders in separable algebras (16H10)

Related Items

A characterization of G-Dedekind prime Morita contexts, Group rings which are G-Dedekind prime rings, Rings of Morita contexts which are maximal orders, Multiplicative Ideal Theory in Noncommutative Rings

Cites Work

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• On generalized Dedekind prime rings.
• SKEW POLYNOMIAL RINGS WHICH ARE GENERALIZED ASANO PRIME RINGS
• On Rings Whose Reflexive Ideals are Principal
• Derivations in Simple Rings