Hereditary Properties of Direct Summands of Algebras
نویسندگان
چکیده
We consider subrings S of rings R such that R = S⊕V with V either two sided invariant under multiplication by S or invariant under the commutator with S. We show that some important properties of R are inherited by S under such conditions. One is the FCR-property which says that every finite dimensional representation is completely reducible. Another application gives a characterization (in characteristic zero) of reductive subgroups of reductive groups.
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تاریخ انتشار 2004