Geodesic
Almost nilpotent varieties with non-integer exponents do exist
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2016), pp. 42-46

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In this paper we prove the existence of almost nilpotent variety of linear algebras such that an exponent of it is not integer. Examples of almost nilpotent varieties with integer exponents were known previously. 
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     author = {S. P. Mishchenko},
     title = {Almost nilpotent varieties with non-integer exponents do exist},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {42--46},
     publisher = {mathdoc},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2016_3_a7/}
}
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S. P. Mishchenko. Almost nilpotent varieties with non-integer exponents do exist. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2016), pp. 42-46. http://geodesic.mathdoc.fr/item/VMUMM_2016_3_a7/