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Localizations of Hi and Di Rings
Published online by Cambridge University Press: 20 November 2018
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In this paper we study conditions under which certain localizations of semilocal Hi and Di rings satisfy the second chain condition. Two of these results are as follows.
1) If P is a prime in a semilocal Hi ring with depth P > i ≧ height P — 1, then RP satisfies the second chain condition.
2) If P is a prime in a semilocal Dt ring with depth P ≧ i, then RP satisfies the second chain condition.
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- Copyright © Canadian Mathematical Society 1976