Barucci, Valentina On the power series ring over a Mori domain. (English) Zbl 0671.13009 C. R. Math. Acad. Sci., Soc. R. Can. 10, No. 6, 267-272 (1988). 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 PDF BibTeX XML Cite \textit{V. Barucci}, C. R. Math. Acad. Sci., Soc. R. Can. 10, No. 6, 267--272 (1988; Zbl 0671.13009)