An Overring-Theoretic Approach to Polynomial Extensions of Star and Semistar Operations

DOI10.1080/00927872.2010.480959zbMath1234.13011arXiv1004.4369OpenAlexW2148646704MaRDI QIDQ3094813

Gyu Whan Chang, Marco Fontana

Publication date: 27 October 2011

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

Full work available at URL: https://arxiv.org/abs/1004.4369

zbMATH Keywords

Kronecker function ringstar and semistar operationsLocalizing system of ideals

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25)

Related Items (3)

Polynomial extensions of semistar operations ⋮ Two Extensions of a Star Operation on D to the Polynomial Ring D[X] ⋮ WHEN THE NAGATA RING D(X) IS A SHARP DOMAIN

Cites Work

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• Cancellation properties in ideal systems: A classification of e.a.b. semistar operations
• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• Idéaux divisoriels d'un anneau de polynômes
• Some remarks on star-operations
• Flat ideals. II
• Uppers to zero and semistar operations in polynomial rings
• Abstrakte Begründung der multiplikativen Idealtheorie
• Semistar-Krull and valuative dimension of integral domains
• Semistar Linkedness and Flatness, Prüfer Semistar Multiplication Domains
• On t-invertibility II
• Characterizations of ^*-Multiplication Domains
• Note on Star Operations Over Polynomial Rings
• Uppers to Zero in Polynomial Rings and Prüfer-Like Domains
• Star-operations induced by overrings
• Star operations and generalized integral closures
• On w-modules over strong mori domains
• Nagata Rings, Kronecker Function Rings, and Related Semistar Operations
• Kronecker Function Rings and Generalized Integral Closures
• Localizing systems, module systems, and semistar operations

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