finitely generated module M is a gcs-module if and only if M is a (finite) sum of local modules. Then M is supplemented by [3, 41.6]. This is a contradiction, because there exists finitely generated gcs-modules that are not supplemented (see
Other ID | JA73YS48HA |
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Journal Section | Articles |
Authors | |
Publication Date | December 1, 2010 |
Published in Issue | Year 2010 Volume: 8 Issue: 8 |