Reducible Property of a Finitely Generated Module

Li-jiang ZENG

Abstract


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

Keywords


finitely generated R[G] module; B-projective; R-homomorphism; R-homomorphism

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DOI: http://dx.doi.org/10.3968/j.ans.1715787020100302.033

DOI (PDF): http://dx.doi.org/10.3968/g963

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