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A non radical based approach to study of associative algebras

Vladimir Dergachev
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Abstract

We study pairs of associative algebras and linear functionals. New results together with corrected proofs for previously published material are presented. In particular, we prove the identity ind Mat(n) (#) A=n * ind A$ for finite-dimensional unital associative algebra A with index 1. [ Symbol (#) denotes tensor product ]

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Vladimir Dergachev. 2003-04-18. A non radical based approach to study of associative algebras. https://arxiv.org/abs/math/0212369

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