On the set of t-linked overrings of an integral domain

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ON THE SET OF t-LINKED OVERRINGS OF AN INTEGRAL DOMAIN

Let R be an integral domain with quotient field L. An overring T of R is t-linked over R if I = R implies that (T : IT ) = T for each finitely generated ideal I of R. Let Ot(R) denotes the set of all t-linked overrings of R and O(R) the set of all overrings of R. The purpose of this paper is to study some finiteness conditions on the set Ot(R). Particularly, we prove that if Ot(R) is finite, th...

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Let R be an integral domain with quotient field L. An overring T of R is t-linked over R if I = R implies that (T : IT ) = T for each finitely generated ideal I of R. Let Ot(R) denotes the set of all t-linked overrings of R and O(R) the set of all overrings of R. The purpose of this paper is to study some finiteness conditions on the set Ot(R). Particularly, we prove that if Ot(R) is finite, th...

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ژورنال

عنوان ژورنال: manuscripta mathematica

سال: 2008

ISSN: 0025-2611,1432-1785

DOI: 10.1007/s00229-008-0220-9