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Semi-simple algebras and normality of closed subsets in standard table algebras. (English) Zbl 1399.16027

Summary: By using the Artin-Wedderburn theorem and the central idempotent decomposition, several results about normality on closed subsets in standard table algebras are generalized to complex semi-simple algebras and the proofs are easier than the original ones.

MSC:

16D60 Simple and semisimple modules, primitive rings and ideals in associative algebras
16K20 Finite-dimensional division rings
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References:

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