Rings with Enough Invertible Ideals and Their Divisor Class Groups

DOI10.1080/00927870902829031zbMath1189.16016OpenAlexW2157643226MaRDI QIDQ3656749

Evrim Akalan

Publication date: 14 January 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902829031

zbMATH Keywords

maximal ordersAzumaya algebrasinvertible idealslocalizationsdivisor class groupsreflexive ideals

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Class groups (13C20) Orders in separable algebras (16H10) Associative rings of fractions and localizations (16S85)

Related Items

Group rings which are G-Dedekind prime rings ⋮ On generalized Dedekind prime rings. ⋮ On Rings Whose Reflexive Ideals are Principal ⋮ Ore Extensions Over PI G-Dedekind Prime Rings ⋮ Multiplicative Ideal Theory in Noncommutative Rings ⋮ NEW CHARACTERIZATIONS OF GENERALIZED DEDEKIND PRIME RINGS

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