[HTML][HTML] Counting intermediate rings in normal pairs
MB Nasr, A Jaballah - Expositiones Mathematicae, 2008 - Elsevier
MB Nasr, A Jaballah
Expositiones Mathematicae, 2008•ElsevierLet R⊆ S be an extension of integral domains. If each intermediate ring in this extension is
integrally closed in S, then (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.
integrally closed in S, then (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.
Let R⊆S be an extension of integral domains. If each intermediate ring in this extension is integrally closed in S, then (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.
Elsevier
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