Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 29 Issue 1
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- Pages.137-143
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- 1992
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
EFFICINET GENERATION OF MAXIMAL IDEALS IN POLYNOMIAL RINGS
Abstract
The purpose of this paper is to provide the affirmative solution of the following conjecture due to Davis and Geramita. Conjecture; Let A=R[T] be a polynomial ring in one variable, where R is a regular local ring of dimension d. Then maximal ideals in A are complete intersection. Geramita has proved that the conjecture is true when R is a regular local ring of dimension 2. Whatwadekar has rpoved that conjecture is true when R is a formal power series ring over a field and also when R is a localization of an affine algebra over an infinite perfect field. Nashier also proved that conjecture is true when R is a local ring of D[
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