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Integrally closed factor domains

Published online by Cambridge University Press:  17 April 2009

Valentina Barucci ,
David E. Dobbs  and
S.B. Mulay
Valentina Barucci
Affiliation:
Dipartimento di Matematica, Universitá di Roma, “La Sapienza”, 00185 Roma, Italy
David E. Dobbs
Affiliation:
Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37996-1300, USA
S.B. Mulay
Affiliation:
Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37996-1300, USA
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Abstract

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This paper characterises the integral domains R with the property that R/P is integrally closed for each prime ideal P of R. It is shown that Dedekind domains are the only Noetherian domains with this property. On the other hand, each integrally closed going-down domain has this property. Related properties and examples are also studied.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 3 , June 1988 , pp. 353 - 366
Copyright
Copyright © Australian Mathematical Society 1988

References

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