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Globalized pseudo-valuation domains of the form Int(D)

Authors
Park, Mi Hee
Issue Date
2003
Keywords
Globalized pseudo-valuation domain; Integer-valued polynomials; Interpolation domain
Citation
Communications in Algebra, v.31, no.3, pp 1131 - 1137
Pages
7
Journal Title
Communications in Algebra
Volume
31
Number
3
Start Page
1131
End Page
1137
URI
https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/66414
DOI
10.1081/AGB-120017794
ISSN
0092-7872
1532-4125
Abstract
Let D be an integral domain which is not a field. We show that Int(D) is a globalized pseudo-valuation domain (or, in short, a GPVD) if and only if D is a GPVD and an interpolation domain; in that case, each overring of Int(D) is a GPVD, and each overring of D is a GPVD and an interpolation domain.
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자연과학대학 (수학과)
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