Intermediate rings between a local domain and its completion
Heinzer, William ; Rotthaus, Christel ; Wiegand, Sylvia
Illinois J. Math., Tome 43 (1999) no. 3, p. 19-46 / Harvested from Project Euclid
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We consider the structure of certain intermediate domains betweena local Noetherian domain $R$ and an ideal-adic completion $R^{\ast}$ of $R$ that arise as the intersection of $R^{\ast}$ with a field containing $R$. In the case where the intersection domain $A$ can be expressed as a directed union of localized polynomial extension rings of $R$, the computation of $A$ is easier. We examine conditions for this to happen. We also present examples to motivate and illustrate the concepts considered.
Publié le : 1999-03-15
Classification:  13J10,  13F25,  13J05 
@article{1255985335,
     author = {Heinzer, William and Rotthaus, Christel and Wiegand, Sylvia},
     title = {Intermediate rings between a local domain and its completion},
     journal = {Illinois J. Math.},
     volume = {43},
     number = {3},
     year = {1999},
     pages = { 19-46},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255985335}
}

Heinzer, William; Rotthaus, Christel; Wiegand, Sylvia. Intermediate rings between a local domain and its completion. Illinois J. Math., Tome 43 (1999) no. 3, pp.  19-46. http://gdmltest.u-ga.fr/item/1255985335/