Invariant factor theorem for Prüfer domains of finite character

DOI10.1016/0021-8693(87)90030-5zbMath0626.13005OpenAlexW2085283445MaRDI QIDQ580438

Lawrence S. Levy

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90030-5

zbMATH Keywords

Prüfer domainsinvariant factor theorem

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (5)

Pole assignability in polynomial rings, power series rings, and Prüfer domains ⋮ Pole assignability of rings of low dimension ⋮ Pole assignability and the invariant factor theorem in Prüfer domains and Dedekind domains ⋮ Finitely Presented Modules Over Semihereditary Rings ⋮ Block diagonalization and $2$-unit sums of matrices over Prüfer domains

Cites Work

• Unnamed Item
• Pole assignability in polynomial rings, power series rings, and Prüfer domains
• 1 1/2 and 2 generator ideals in Prüfer domains
• On the number of generators of an invertible ideal
• Elementary Divisor Rings and Finitely Presented Modules
• Decomposing Pairs of Modules
• Quotient overrings of integral domains
• Modules Over Dedekind Rings and Valuation Rings

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