The class group of a strongly mori domain

DOI10.1080/00927879408824839zbMath0828.13012OpenAlexW2012491647MaRDI QIDQ4282881

Valentina Barucci, Stefania Gabelli, Moshe Roitman

Publication date: 11 December 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408824839

zbMATH Keywords

class groupquotient ringsKrull domainMori domainflat overringsstrongly Mori domain

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Class groups (13C20) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items

Duals and Transforms of Ideals in PVMDs ⋮ ON A CLASS OF PRUFER -MULTIPLICATION DOMAINS ⋮ THE v-OPERATION IN EXTENSIONS OF INTEGRAL DOMAINS ⋮ Arithmetic of Mori domains and monoids ⋮ The \(A+ XB[X\) and \(A+ XBX\) constructions from \(GCD\)-domains] ⋮ t-splitting multiplicative sets of ideals in integral domains ⋮ Star operations in extensions of integral domains ⋮ The \(A + X B [X\) construction from Prüfer \(v\)-multiplication domains] ⋮ Arithmetic of Mori Domains and Monoids: The Global Case ⋮ Mori domains of integer-valued polynomials

Cites Work

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• The class group of \(D+M\)
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• Idéaux divisoriels d'un anneau de polynômes
• Topologically defined classes of commutative rings
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• On semi-Krull domains
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• On Chain Conditions in Integral Domains
• On divisorial ideals in polynomial rings over mori domains
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• Sur un theoreme de nagata
• Sur Les Anneaux Reflexifs
• Some Results on v-Multiplication Rings
• Quotient overrings of integral domains