Geodesic
PI-exponents of some simple algebras with unit
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 4, pp. 121-128

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Over a field of characteristic zero we have constructed a discrete series of simple finite-dimensional algebras with unit. Its sequence of dimensions is not bounded, but PI-exponents are different fractional numbers strictly less than 4. 
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     author = {S. P. Mishchenko and O. A. Bogdanchuk},
     title = {PI-exponents of some simple algebras with unit},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     url = {http://geodesic.mathdoc.fr/item/FPM_2013_18_4_a8/}
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S. P. Mishchenko; O. A. Bogdanchuk. PI-exponents of some simple algebras with unit. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 4, pp. 121-128. http://geodesic.mathdoc.fr/item/FPM_2013_18_4_a8/