Matches in SemOpenAlex for { <https://semopenalex.org/work/W4363676039> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W4363676039 abstract "It is well-known that an integrally closed domain $D$ can be express as the intersection of its valuation overrings but, if $D$ is not a Pr{u}fer domain, the most of valuation overrings of $D$ cannot be seen as localizations of $D$. The Kronecker function ring of $D$ is a classical construction of a Pr{u}fer domain which is an overring of $D[t]$, and its localizations at prime ideals are of the form $V(t)$ where $V$ runs through the valuation overrings of $D$. This fact can be generalized to arbitrary integral domains by expressing them as intersections of overrings which admit a unique minimal overring. In this article we first continue the study of rings admitting a unique minimal overring extending known results obtained in the 70's and constructing examples where the integral closure is very far from being a valuation domain. Then we extend the definition of Kronecker function ring to the non-integrally closed setting by studying intersections of Nagata rings of the form $A(t)$ for $A$ an integral domain admitting a unique minimal overring." @default.
- W4363676039 created "2023-04-11" @default.
- W4363676039 creator A5002530268 @default.
- W4363676039 creator A5088459751 @default.
- W4363676039 date "2023-04-07" @default.
- W4363676039 modified "2023-09-27" @default.
- W4363676039 title "Non-integrally closed Kronecker function rings and integral domains with a unique minimal overring" @default.
- W4363676039 doi "https://doi.org/10.48550/arxiv.2304.03723" @default.
- W4363676039 hasPublicationYear "2023" @default.
- W4363676039 type Work @default.
- W4363676039 citedByCount "0" @default.
- W4363676039 crossrefType "posted-content" @default.
- W4363676039 hasAuthorship W4363676039A5002530268 @default.
- W4363676039 hasAuthorship W4363676039A5088459751 @default.
- W4363676039 hasBestOaLocation W43636760391 @default.
- W4363676039 hasConcept C10138342 @default.
- W4363676039 hasConcept C114614502 @default.
- W4363676039 hasConcept C118615104 @default.
- W4363676039 hasConcept C121332964 @default.
- W4363676039 hasConcept C127413603 @default.
- W4363676039 hasConcept C134306372 @default.
- W4363676039 hasConcept C162324750 @default.
- W4363676039 hasConcept C178790620 @default.
- W4363676039 hasConcept C185592680 @default.
- W4363676039 hasConcept C186027771 @default.
- W4363676039 hasConcept C200802036 @default.
- W4363676039 hasConcept C202444582 @default.
- W4363676039 hasConcept C205059728 @default.
- W4363676039 hasConcept C2780378348 @default.
- W4363676039 hasConcept C33923547 @default.
- W4363676039 hasConcept C36503486 @default.
- W4363676039 hasConcept C39482219 @default.
- W4363676039 hasConcept C62520636 @default.
- W4363676039 hasConcept C78519656 @default.
- W4363676039 hasConcept C9652623 @default.
- W4363676039 hasConcept C98486379 @default.
- W4363676039 hasConceptScore W4363676039C10138342 @default.
- W4363676039 hasConceptScore W4363676039C114614502 @default.
- W4363676039 hasConceptScore W4363676039C118615104 @default.
- W4363676039 hasConceptScore W4363676039C121332964 @default.
- W4363676039 hasConceptScore W4363676039C127413603 @default.
- W4363676039 hasConceptScore W4363676039C134306372 @default.
- W4363676039 hasConceptScore W4363676039C162324750 @default.
- W4363676039 hasConceptScore W4363676039C178790620 @default.
- W4363676039 hasConceptScore W4363676039C185592680 @default.
- W4363676039 hasConceptScore W4363676039C186027771 @default.
- W4363676039 hasConceptScore W4363676039C200802036 @default.
- W4363676039 hasConceptScore W4363676039C202444582 @default.
- W4363676039 hasConceptScore W4363676039C205059728 @default.
- W4363676039 hasConceptScore W4363676039C2780378348 @default.
- W4363676039 hasConceptScore W4363676039C33923547 @default.
- W4363676039 hasConceptScore W4363676039C36503486 @default.
- W4363676039 hasConceptScore W4363676039C39482219 @default.
- W4363676039 hasConceptScore W4363676039C62520636 @default.
- W4363676039 hasConceptScore W4363676039C78519656 @default.
- W4363676039 hasConceptScore W4363676039C9652623 @default.
- W4363676039 hasConceptScore W4363676039C98486379 @default.
- W4363676039 hasLocation W43636760391 @default.
- W4363676039 hasOpenAccess W4363676039 @default.
- W4363676039 hasPrimaryLocation W43636760391 @default.
- W4363676039 hasRelatedWork W11350340 @default.
- W4363676039 hasRelatedWork W1986638380 @default.
- W4363676039 hasRelatedWork W2004023724 @default.
- W4363676039 hasRelatedWork W2006065059 @default.
- W4363676039 hasRelatedWork W2027702228 @default.
- W4363676039 hasRelatedWork W2055556958 @default.
- W4363676039 hasRelatedWork W2119546152 @default.
- W4363676039 hasRelatedWork W2123458831 @default.
- W4363676039 hasRelatedWork W2254795785 @default.
- W4363676039 hasRelatedWork W2327078306 @default.
- W4363676039 isParatext "false" @default.
- W4363676039 isRetracted "false" @default.
- W4363676039 workType "article" @default.