Prüfer rings

DOI10.1007/BF01111523zbMath0153.37003OpenAlexW4238016722MaRDI QIDQ5920806

William W. Smith, H. S. Butts

Publication date: 1967

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/170647

zbMATH Keywords

commutative rings

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items

Primary elements in Prüfer lattices ⋮ Relarively prüfer pairs ⋮ Unnamed Item ⋮ Prüfer conditions in the Nagata ring and the Serre’s conjecture ring ⋮ A homological characterization of Q0-Prüfer v-multiplication rings ⋮ Prüfer property in amalgamated algebras along an ideal ⋮ Weak Global Dimension of Prüfer-Like Rings ⋮ A note on semi-hereditary rings ⋮ Reductions of ideals in Prüfer rings ⋮ The ring \(R<X>\) ⋮ Commutative rings in which every finitely generated ideal is quasi-projective ⋮ Unnamed Item ⋮ The u,u⁻¹lemma revisited ⋮ Gaussian and Prüfer conditions in bi-amalgamated algebras ⋮ COMMUTATIVE RINGS IN WHICH EVERY PRINCIPAL IDEAL IS A FINITE INTERSECTION OF PRIME POWER IDEALS ⋮ Endomorphism rings of modules and lattices of submodules ⋮ GCD and LCM-like identities for ideals in commutative rings ⋮ On Prüfer rings ⋮ Prüfer-Like Conditions in Subring Retracts and Applications ⋮ Overrings of Prüfer domains. II ⋮ Prüfer conditions in amalgamated algebras ⋮ Arithmetical rings and multiplicative lattices ⋮ Finite Unions of Ideals and Modules ⋮ Trivial extensions defined by Prüfer conditions ⋮ Prüfer Conditions in an Amalgamated Duplication of a Ring Along an Ideal ⋮ Trivial Ring Extensions Defined by Arithmetical-Like Properties ⋮ Ideal divisibility monoids

Cites Work

• Unnamed Item
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• On Prüfer rings
• On semi-hereditary rings
• Über die Ideale arithmetischer Ringe
• Über kommutative Ringe, in denen jedes Ideal als Produkt von Primidealen darstellbar ist
• A note on the dimension theory of rings
• On Characterizations of Prüfer Rings.
• Primary Ideals and Valuation Ideals
• A Remark on Arithmetical Rings
• Primary Ideals and Prime Power Ideals
• Primary Ideals in Prüfer Domains
• Equivalent Conditions for a Ring to Be a Multiplication Ring