Noetherian Rings in Which Every Ideal is a Product of Primary Ideals
1980 ◽
Vol 23
(4)
◽
pp. 457-459
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Keyword(s):
The classical rings of number theory, Dedekind domains, are characterized by the property that every ideal is a product of prime ideals. More generally, a commutative ring R with identity has the property that every ideal is a product of prime ideals if and only if R is a finite direct sum of Dedekind domains and special principal ideal rings. These rings, called general Z.P.I. rings, are also characterized by the property that every (prime) ideal is finitely generated and locally principal.
2021 ◽
Vol 29
(2)
◽
pp. 173-186
Keyword(s):
2019 ◽
Vol 18
(05)
◽
pp. 1950099
Keyword(s):
Keyword(s):
2003 ◽
Vol 2003
(69)
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pp. 4373-4387
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Keyword(s):
2019 ◽
Vol 18
(02)
◽
pp. 1950035
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Keyword(s):
1974 ◽
Vol 26
(5)
◽
pp. 1186-1191
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Keyword(s):
1991 ◽
Vol 34
(1)
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pp. 155-160
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