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Some Remarks on Complete Integral Closure

Published online by Cambridge University Press:  09 April 2009

William Heinzer
William Heinzer
Affiliation:
Louisiana State UniversityBâton Rouge, Louisiana
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This paper continues an investigation of the complete integral closure of an integral domain which was begun in [2]. We recall that if D is an integral domain with quotient field K then an element x of K is said to be almost integral over D if there exists a nonzero element y of D such that yxn is an element of D for each positive integer n. The set D* of elements of K almost integral over D is called the complete integral closure of D and D is said to be completely integrally closed if D* = D.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 9 , Issue 3-4 , May 1969 , pp. 310 - 314
Copyright
Copyright © Australian Mathematical Society 1969

References

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