SOME REMARKS ON PRINCIPAL PRIME IDEALS
2010 ◽
Vol 83
(1)
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pp. 130-137
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AbstractIn this paper we investigate principal prime ideals in commutative rings. Among other things we characterize the principal prime ideals that are both minimal and maximal and characterize the maximal ideals of a polynomial ring that are principal. Our main result is that if (p) is a principal prime ideal of an atomic ring R, then ht(p)≤1.
2007 ◽
Vol 75
(3)
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pp. 417-429
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2004 ◽
Vol 03
(04)
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pp. 437-443
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2019 ◽
Vol 13
(07)
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pp. 2050121
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2000 ◽
Vol 43
(3)
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pp. 312-319
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1978 ◽
Vol 30
(01)
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pp. 95-101
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2021 ◽
Vol 29
(2)
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pp. 173-186
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1991 ◽
Vol 43
(2)
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pp. 233-239
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2019 ◽
Vol 15
(01)
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pp. 131-136
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