Polynomial rings over pseudovaluation rings.

DOI10.1155/2007/20138zbMath1167.16021OpenAlexW2002699960MaRDI QIDQ925447

Vijay Kumar Bhat

Publication date: 3 June 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55814

zbMATH Keywords

skew polynomial ringsstrongly prime idealsdivided ringspseudovaluation 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) Ideals and multiplicative ideal theory in commutative rings (13A15) Ideals in associative algebras (16D25)

Related Items

Unnamed Item ⋮ Minimal prime ideals of skew polynomial rings and near pseudo-valuation rings ⋮ On semi-pseudo-valuation rings and their extensions.

Cites Work

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• Pseudo-valuation domains
• Ore extensions of Baer and p.p.-rings.
• Embedding Differential and Skew Polynomial Rings into Artinian Rings
• ASSOCIATED PRIMES OVER SKEW POLYNOMIAL RINGS
• On domains which have prime ideals that are linearly ordered