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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
##### Keywords:
polynomial ring; power series ring; seminormal Mori domain