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|Type:||Artigo de periódico|
|Abstract:||We consider how a resolution of an abelian group M over Z could be lifted to a free resolution of the trivial module R over R[M], where R is the field of the rationals. The extended resolution is defined in terms of the exterior and divided powers algebras. Furthermore if the resolution of M is in fact a free resolution over Z[G] for some group G then the extended resolution will provide a free resolution of the augmentation ideal of R[M] over R[M proportional to G]. Furthermore if R is a subring of the rationals containing Z and all j less than or equal to i are invertible in R then the extended complex can be defined up to dimension (i + 1) and is exact up to dimension i. (C) 2003 Elsevier Inc. All rights reserved.|
|Editor:||Academic Press Inc Elsevier Science|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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