Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582489 | Expositiones Mathematicae | 2008 | 13 Pages |
Abstract
Let R⊆SR⊆S be an extension of integral domains. If each intermediate ring in this extension is integrally closed in S , then (R,S)(R,S) is called a normal pair. We investigate in this work the set of intermediate rings in such ring extensions. We establish several results and equations concerning the cardinality of the set of intermediate rings. In particular, we give a way to compute the number of intermediate rings in normal pairs with only finitely many intermediate rings.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mabrouk Ben Nasr, Ali Jaballah,