A non radical based approach to study of associative algebras

Details A non radical based approach to study of associative algebras A non radical based approach to study of associative algebras

2002-12-30

arxiv.org/abs/math/0212369v3

Mathematics

Rings and Algebras

40 pages; text has been significantly expanded. Added new sections discussing interaction with radical methods and open proble

Scientific paper

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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