Primary Ideals in Prüfer Domains
1966 ◽
Vol 18
◽
pp. 1024-1030
◽
Keyword(s):
A Prüfer domain is an integral domainDwith the property that for every proper prime idealPofDthe quotient ringDPis a valuation ring. Examples of such domains are valuation rings and Dedekind domains, a Dedekind domain being merely a noetherian Prüfer domain. The integral closure of the integers in an infinite algebraic extension of the rationals is another example of a Prüfer domain (5, p. 555, Theorem 8). This third example has been studied initially by Krull (4) and then by Nakano (8).
2016 ◽
Vol 15
(03)
◽
pp. 1650051
◽
Keyword(s):
1972 ◽
Vol 24
(5)
◽
pp. 792-798
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Keyword(s):
1960 ◽
Vol 12
◽
pp. 107-125
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Keyword(s):
1978 ◽
Vol 30
(6)
◽
pp. 1313-1318
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2019 ◽
Vol 56
(2)
◽
pp. 260-266
Keyword(s):
2012 ◽
Vol 11
(06)
◽
pp. 1250112
◽
Keyword(s):
2007 ◽
Vol 75
(3)
◽
pp. 417-429
◽
Keyword(s):
2016 ◽
Vol 15
(06)
◽
pp. 1650022
◽
Keyword(s):