Weak Dimension of FP-injective Modules Over Chain Rings |
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| Authors: | François Couchot |
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| Affiliation: | 1. Laboratoire de Mathematiques Nicolas Oresme , Université de Caen Basse-Normandie , Caen , France francois.couchot@unicaen.fr |
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| Abstract: | It is proven that the weak dimension of each FP-injective module over a chain ring which is either Archimedean or not semicoherent is less or equal to 2. This implies that the projective dimension of any countably generated FP-injective module over an Archimedean chain ring is less or equal to 3. |
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| Keywords: | Chain ring FP-Injective module Injective module Weak dimension |
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