Ideal Krull-symmetry of skew polynomial rings.

DOI10.1007/s13366-011-0085-zzbMath1257.16019OpenAlexW1987363588MaRDI QIDQ695014

Vijay Kumar Bhat

Publication date: 20 December 2012

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-011-0085-z

zbMATH Keywords

skew polynomial ringsderivationsautomorphismsKrull dimension

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

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• A note on Krull dimension of skew polynomial rings.
• Associated primes over Ore extensions.
• Theory of non-commutative polynomials
• Associated prime ideals of skew polynomial rings.
• On fully left bounded left Noetherian rings
• On Induced Modules Over Ore Extensions
• Shorter Notes: Artinian Ideals in Noetherian Rings
• Associated primes in commutative polynomial rings
• Differential Ideals in Rings of Finitely Generated Type
• Krull dimension