Almost Multiplication Rings
1965 ◽
Vol 17
◽
pp. 267-277
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Keyword(s):
It is well known that an idealAin a. Dedekind domain has a prime radical if and only ifAis a power of a prime ideal. The purpose of this paper is to determine necessary and sufficient conditions in order that a commutative ring with unit element have this property and to study the ideal theory in such rings. Domains with unit element having the above property possess many of the characteristics of Dedekind domains (however, they need not be Noetherian) and will be referred to in this paper as "almost Dedekind domains"—these domains are considered in Section 1.
1991 ◽
Vol 14
(4)
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pp. 665-673
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1980 ◽
Vol 32
(5)
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pp. 1266-1269
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1979 ◽
Vol 28
(3)
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pp. 335-345
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1972 ◽
Vol 24
(4)
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pp. 703-712
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2000 ◽
Vol 43
(3)
◽
pp. 312-319
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2015 ◽
Vol 14
(07)
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pp. 1550099
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2007 ◽
Vol 50
(1)
◽
pp. 37-47
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1974 ◽
Vol 11
(3)
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pp. 429-441
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2019 ◽
Vol 18
(08)
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pp. 1950160