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On the Global Dimensions of D+M

Published online by Cambridge University Press:  20 November 2018

David E. Dobbs
David E. Dobbs*
Affiliation:
Rutgers University, Rutgers University New Brunswick, NJ 08903 U.S.A.Present Address:, University Of Tennessee Knoxville, TN 37916 U.S.A.
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This note answers affirmatively a question of the author [4, p. 456], by producing an example of an integrally closed quasi-local non valuation domain of global dimension 3, each of whose overrings is a goingdown ring. Although [4, Proposition 4.5] shows that such an example cannot be constructed by means of restrained power series, an approach via the more general D+M construction succeeds.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 5 , 01 December 1975 , pp. 657 - 660
Copyright
Copyright © Canadian Mathematical Society 1975

References

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