A skew polynomial ring over a v-hc order with enough V-inveriible ideals

DOI10.1080/00927878408823068zbMath0538.16002OpenAlexW2084730780MaRDI QIDQ3324099

Hidetoshi Marubayashi

Publication date: 1984

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878408823068

zbMATH Keywords

skew polynomial ringsKrull ordersclass-groupHNP ringtame orderenough v-invertible idealsv-HC orders

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

Ore-Rees rings which are maximal orders., Generalized hereditary Noetherian prime rings, On bounded v-hc orders in a simple artinian ring, Group rings which are v-HC orders and Krull orders, Examples of Ore extensions which are maximal orders whose based rings are not maximal orders, Non commutative unique factorization rings, Maximality of pbw extensions of orders, Divtsorially graded rings by polycyclic-by-finite groups, A characterization of a non-frime v-hc order, SKEW POLYNOMIAL RINGS WHICH ARE GENERALIZED ASANO PRIME RINGS, On v-ideals in a VHC order, Projective ideals of skew polynomial rings over HNP rings

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