Some examples of noncommutative local rings

DOI10.1017/S0017089500009083zbMath0693.16005OpenAlexW2063873537MaRDI QIDQ3035453

David A. Jordan

Publication date: 1990

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500009083

zbMATH Keywords

Jacobson radicalregular local ringintegral domainOre extensionNoetherian local ringunique factorization ringheight-1 prime ideallocal ring of global dimension 2principal height-1 prime ideal

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Noncommutative local and semilocal rings, perfect rings (16L30) Noetherian rings and modules (associative rings and algebras) (16P40) Integral domains (associative rings and algebras) (16U10) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (1)

A taxonomy of 2-primal rings.

Cites Work

• Maximal orders in Artinian rings
• Links between prime ideals in differential operator rings
• Non-Commutative Unique Factorisation Rings
• Nouveaux exemples d'ordres maximaux
• Noetherian Rings of Finite Global Dimension
• Noetherian Ore Extensions and Jacobson Rings
• Localization in Non-Commutative Noetherian Rings
• Noncommutative Unique Factorization Domains
• Local Rings and Normalizing Sets of Elements

This page was built for publication: Some examples of noncommutative local rings