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Localizations of Hi and Di Rings

Published online by Cambridge University Press:  20 November 2018

Evan G. Houston
Evan G. Houston*
Affiliation:
University of North Carolina at Charlotte, Charlotte, North Carolina
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 4 , 01 August 1976 , pp. 815 - 819
Copyright
Copyright © Canadian Mathematical Society 1976

References

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