×

zbMATH — the first resource for mathematics

On the power series ring over a Mori domain. (English) Zbl 0671.13009
A Mori domain is a commutative domain A with the ascending chain condition on divisorial ideals. Let \(A^*\) denote the complete integral closure of A. The author defines what it means for A to be seminormal in \(A^*\) (coinciding with the usual notion when A is Noetherian), and proves that if A is a Mori domain seminormal in \(A^*\), with the conductor of \(A^*\) in A different from zero, then A[X] and A[[X]] are also Mori.
Reviewer: K.A.Brown
MSC:
13E05 Commutative Noetherian rings and modules
13F25 Formal power series rings
13F20 Polynomial rings and ideals; rings of integer-valued polynomials
PDF BibTeX XML Cite