Abstract
We study the exponential rate of growth of the sequence of proper, Lie and Jordan codimensions of an associative algebra. We show that for any finite dimensional associative algebra, the exponential rates of growth can be explicitly computed and are strictly related to the PI-exponent of the algebra.
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The first author was partially supported by MIUR of Italy. The second author was partially supported by RFBR grant No 06-01-00485 and SSC-5666.2006.1
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Giambruno, A., Zaicev, M. Lie, Jordan and proper codimensions of associative algebras. Rend. Circ. Mat. Palermo 57, 161–171 (2008). https://doi.org/10.1007/s12215-008-0010-y
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DOI: https://doi.org/10.1007/s12215-008-0010-y