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On existence of PI-exponents of unital algebras

2020
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Electronic Research Archive
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We construct a family of unital non-associative algebras {T_α| 2<α∈R} such that exp(T_α)=2, whereas α 2. This is the first example of a unital algebra whose PI-exponent does not exist.

doi:10.3934/era.2020044
fatcat:iwlxhjsntfhkhoxql72mhi2pwy