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K0Groups of Pullbacks and Determinant Maps

Keywords: Pullback,K0group,Determinantmap,Commutativering,Homomorphism2000MSC,19A31doi,10.3969/j.issn.10018395.2009.03.011

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Abstract:

GivenacommutativeringS,thedeterminantmapdet0Rk0(S)Pic(S)givenby[P]-[Sm]|〈∧mP〉isahomomorphismfromtheadditivegroupofRk0(S)tothemultiplicativegroupPic(S).Inthispaper,somerelationsbetweenthedeterminantmapsandthepullbacksofK0groupsareobtained.

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