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Contracted primes of the complete ring of quotients

Published online by Cambridge University Press:  17 April 2009

Frederick W. Call
Frederick W. Call
Affiliation:
1009 Woodlawn Ave., Springfield, OH 45504Unites States of America. Department of Mathematics and Statistics, Queen's UniversityKingston, Ontario, K7L 3N6Canada
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Abstract

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The generic closure of the set of primes contracted from the complete ring of quotients of a reduced commutative ring is shown to be just the set of those primes not containing a finitely generated dense ideal. It is also the smallest generically closed, quasi-compact set containing the minimal primes.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 3 , December 1988 , pp. 373 - 375
Copyright
Copyright © Australian Mathematical Society 1988

References

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