NEW CHARACTERIZATIONS OF GENERALIZED DEDEKIND PRIME RINGS

DOI10.1142/S0219498811004963zbMath1278.16022OpenAlexW2114963716MaRDI QIDQ3117904

Bülent Saraç, Evrim Akalan

Publication date: 1 March 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498811004963

zbMATH Keywords

principal idealsmaximal ordersinvertible idealsreflexive idealsgeneralized Dedekind prime ringsprime Noetherian PI ringsproducts of prime ideals

Mathematics Subject Classification ID

Ideals in associative algebras (16D25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Orders in separable algebras (16H10)

Related Items (1)

Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic.

Cites Work

• Unnamed Item
• On generalized Dedekind prime rings.
• Ideal arithmetic in Noetherian PI rings
• The center of some quantum projective planes
• Smooth polynomial identity algebras with almost factorial centers.
• Idealizers and hereditary Noetherian prime rings
• Rings with Enough Invertible Ideals and Their Divisor Class Groups
• Localization in Non-Commutative Noetherian Rings
• π-domains, overrings, and divisorial ideals
• Non-noetherian regular rings of dimension 2

This page was built for publication: NEW CHARACTERIZATIONS OF GENERALIZED DEDEKIND PRIME RINGS