Anneaux locaux commutatifs sur lesquels tout module de type fini est somme directe de modules monogènes

DOI10.1016/0021-8693(71)90010-XzbMath0215.37001MaRDI QIDQ2545720

Jean-Pierre Lafon

Publication date: 1971

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

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Other special types of modules and ideals in commutative rings (13C13)

Related Items (16)

MODULES OVER ARCHIMEDEAN VALUATION DOMAINS AND THE PROBLEM OF BOUNDED MODULE TYPE ⋮ Local rings of bounded module type ⋮ Elementary Divisor Rings and Finitely Presented Modules ⋮ The canonical form of multiplication modules ⋮ Commutative rings whose certain modules decompose into direct sums of cyclic submodules ⋮ Prime uniserial modules and rings ⋮ Decomposition of modules over serial rings ⋮ COMMUTATIVE LOCAL RINGS OF BOUNDED MODULE TYPE ⋮ Serial rings and finitely presented modules ⋮ Sulla henselizzazione degli anelli aritmetici ⋮ Ascent of properties for absolutely flat homomorphisms ⋮ Local duo rings whose finitely generated modules are direct sums of cyclics ⋮ On the constructions of local and arithmetic rings ⋮ Scalar-reflexive rings. II ⋮ Rings whose finitely generated modules are direct sums of cyclics ⋮ On noncommutative FGC rings

Cites Work

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• Purity and algebraic compactness for modules
• Injective Modules Over Prufer Rings
• Decomposable Modules
• Modules Over Dedekind Rings and Valuation Rings

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