%0 Journal Article %T Reducible Property of a Finitely Generated Module %A Li-jiang ZENG %J Advances in Natural Science %D 2010 %I %R 10.3968/944 %X In the article, G-invariant element, , and other concepts were introduced, Several lemmas were proved to use these concepts, Finally, it had been proved that let F be a field whose characteristic dose not divide |G|. Then every finitely generated F[G] module is completely reducible.Key words: finitely generated R[G] module; B-projective; R-homomorphism; R-homomorphism %K finitely generated R[G] module %K B-projective %K R-homomorphism %K R-homomorphism %U http://cscanada.net/index.php/ans/article/view/944