Cancellation properties in ideal systems: an $\boldsymbol{e.a.b.}$ not $\boldsymbol{a.b.}$ star operation

zbMath1225.13003arXiv1002.2388MaRDI QIDQ3005921

Ryuki Matsuda, K. Alan Loper, Marco Fontana

Publication date: 10 June 2011

Full work available at URL: https://arxiv.org/abs/1002.2388

zbMATH Keywords

integral domainstar operation\(t\)-operation\(v\)-operationKronecker function rings\(b\)-operationcancellation properties for multiplicative ideal systemsfinitely generated fractional ideals

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (5)

A gg-Cancellative Semistar Operation on an Integral Domain Need Not Be gh-Cancellative ⋮ Intersections of quotient rings and Prüfer v-multiplication domains ⋮ New Distinguished Classes of Spectral Spaces: A Survey ⋮ A gg not gh-cancellative semistar operation which is an extension of a star operation ⋮ Spectral spaces of semistar operations

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