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- Title
Kronecker function rings of ring extensions.
- Authors
Paudel, Lokendra; Tchamna, Simplice
- Abstract
The classical Kronecker function ring construction associates to a domain a Bézout domain. Let be a subring of a ring , and let ⋆ be a star operation on the extension . In their book [ Manis Valuations and Prüfer Extensions II, Lectures Notes in Mathematics, Vol. 2103 (Springer, Cham, 2014)], Knebusch and Kaiser develop a more general construction of the Kronecker function ring of with respect to ⋆. We characterize in several ways, under relatively mild assumption on , the Kronecker function ring as defined by Knebusch and Kaiser. In particular, we focus on the case where is a flat epimorphic extension or a Prüfer extension.
- Subjects
RING extensions (Algebra); KRONECKER products; IDEALS (Algebra); INTEGRALS; QUOTIENT rings
- Publication
Journal of Algebra & Its Applications, 2018, Vol 17, Issue 2, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498818500214