Strong S-domains |
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Authors: | S Malik JL Mott |
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Affiliation: | Department of Mathematics, Florida State University, Talahassee, Fl 32306, USA |
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Abstract: | S-domains and strong S-rings are studied extensively with special emphasis on integral and polynomial ring extensions. The main theorem of this paper is that for a Prüfer domain R, the polynomial ring RX1,…Xn] in finitely many indeterminates is a strong S-domain. We also prove that any Prüfer υ-multiplication domain is an S-domain. |
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