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math.RA2013
Prime (-1,1) and Jordan monsters and superalgebras of vector type
Sergey V. Pchelintsev, Ivan P. Shestakov
It is proved that the prime degenerate (-1,1) algebra constructed in [13] (the (-1,1)-monster) generates the same variety of algebras as the Grassman (-1,1)-algebra. Moreover, the…
math.RA2013
Associative nil-algebras over finite fields
Artem A. Lopatin, Ivan P. Shestakov
The nilpotency degree of a relatively free finitely generated associative algebra with the identity is studied over finite fields.