Internal characterizations of non-prime dedekind orders

DOI10.1080/00927879908826716zbMath0945.16015OpenAlexW2094739764MaRDI QIDQ4262395

Richard Lissaman

Publication date: 3 October 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826716

zbMATH Keywords

regular elementsquotient ringsFBN ringsinvertible idealsintegral idealsDedekind ordersfully bounded Noetherian Asano ordersintegral maximal ideals

Mathematics Subject Classification ID

Ideals in associative algebras (16D25) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Localization and associative Noetherian rings (16P50)

Related Items (2)

Invertible ideals and existence of quotient rings ⋮ Generator ideals in Noetherian PI rings

Cites Work

• Unnamed Item
• Unnamed Item
• Maximal orders in Artinian rings
• Reduced rank in Noetherian rings
• Non-commutative Dedekind rings
• Localisation in Asano orders
• Regularity of Zero Divisors
• One sided invertibility and localisation
• Les t-anneaux, la condition (H) de gabriel et ses consequences
• Invertible ideals and existence of quotient rings
• Asano Orders
• Bounded Asano Orders are Hereditary

This page was built for publication: Internal characterizations of non-prime dedekind orders