Multiplicative ideal theory of noncommutative Krull pairs. I: Module systems, Krull ring-type chain conditions, and application to two-sided ideals

DOI10.1016/0021-8693(77)90299-XzbMath0372.16003MaRDI QIDQ1244373

Hans Peter Rehm

Publication date: 1977

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

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility, noncommutative UFDs (16U30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (4)

A general notion of noncommutative Krull rings ⋮ Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic. ⋮ Sets of lengths in maximal orders in central simple algebras. ⋮ Associative rings

Cites Work

• On invertibility of additive subgroups in a ring
• Maximal orders over Krull domains
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