Some remarks on star operations and the class group

DOI10.1016/0022-4049(88)90075-8zbMath0652.13002OpenAlexW1991460957MaRDI QIDQ1106889

David F. Anderson, Daniel D. Anderson

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90075-8

zbMATH Keywords

Picard groupclass groupstar operationACCprincipal primes

Mathematics Subject Classification ID

Divisibility and factorizations in commutative rings (13A05)

Related Items

ON INTEGRAL DOMAINS IN WHICH EVERY ASCENDING CHAIN ON PRINCIPAL IDEALS IS S-STATIONARY ⋮ Semistar Dedekind domains ⋮ On the class group and S-class group of formal power series rings ⋮ \(t\)-linked extensions, the \(t\)-class group, and Nagata's theorem ⋮ The class group of \(D+M\) ⋮ On the \(S\)-class group of the monoid algebra \(D[\Gamma\)] ⋮ The class group of integral domains. ⋮ Unique factorization and S-Picard groups of domains of power series ⋮ Star operations and pullbacks. ⋮ Splitting the t-class group ⋮ On semi-Krull domains ⋮ Unnamed Item ⋮ The local \(S\)-class group of an integral domain ⋮ On Nagata's theorem for the class group ⋮ Mori domains of integer-valued polynomials ⋮ Generalizations of Nagata’s theorem ⋮ Domains whose ideals meet a universal restriction

Cites Work

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• Serre's conjecture
• Divisibility properties in semigroup rings
• On a class of mori domains
• Some Results on v-Multiplication Rings