On the set of t-linked overrings of an integral domain
نویسندگان
چکیده
منابع مشابه
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...
متن کاملSOME FINITENESS CONDITIONS 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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ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2008
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-008-0220-9