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Rings with approximation property

โœ Scribed by Christel Rotthaus


Publisher
Springer
Year
1990
Tongue
English
Weight
578 KB
Volume
287
Category
Article
ISSN
0025-5831

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## Abstract Let __A__ be a commutative Noetherian local ring satisfying the approximation property. This means that any system of polynomial equations over __A__ having a solution in the completion ว has also a solution in __A.__ Then __A__ is proven to admit a dualizing complex.

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Based on the above Definition, we prove the following Lemmas.

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In this paper all rings R are associative with identity and all R-modules are unital, and the category of all left R-modules will be denoted by R-Mod. If G is a group and R s [ R is a graded ring, we say that R g g g G