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Original Articles

ON THE EXISTENCE OF FLAT COVERS IN R-gr

, &
Pages 3341-3349 | Received 01 Nov 1999, Published online: 20 Aug 2006
 

Abstract

Recently, a proof of the existence of a flat cover of any module over an arbitrary associative ring with unit has been finally given (see Citation4-5). In this paper we prove the existence of flat covers in the category of graded modules over a graded ring. Some graded theoretical machinery is introduced to make the proof possible and new graded homological tools are developed.

ACKNOWLEDGMENTS

Supported by DGES grant PB95-1068, NATO CRG 971543 and Junta de Andalucía FQM 0211.

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