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1. A constructive comparison of the rings and and application to the Lequain–Simis Induction Theorem

Author

Ellouz, Afef, Lombardi, Henri, and Yengui, Ihsen

Subjects
*MODULES (Algebra), *MATHEMATICAL programming, *ALGORITHMS, *COMMUTATIVE rings
Abstract

Abstract: We constructively prove that for any ring R with Krull dimension ⩽d, the ring locally behaves like the ring or a localization of a polynomial ring of type with S a multiplicative subset of R such that the Krull dimension of is . As an application, we give a simple and constructive proof of the Lequain–Simis Induction Theorem which is an important variation of the Quillen Induction Theorem. [Copyright &y& Elsevier]

Published
2008
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