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Commutative rings whose factors have Artinian rings of quotients
Published online by Cambridge University Press: 17 April 2009
Abstract
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Let R be a commutative ring with unity. Then every factor ring of R has an Artinian total quotient ring if and only if R is a direct sum of one-dimensional Noetherian domains and local Artinian rings.
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- Copyright © Australian Mathematical Society 1983
References
[1]Camillo, Victor P., “Commutative rings whose quotients are Goldie”, Glasgow Math. J. 16 (1975), 32–33.Google Scholar
[2]Cohen, I.S., “Commutative rings with restricted minimum condition”, Duke Math. J. 17 (1950), 27–42.CrossRefGoogle Scholar
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