Abstract: | It is proved that a Mal'tsev algebra over an associative commutative ring with 1, which contains 1/6 and is generated by a
finite tuple of nil-elements of index 2, is nilpotent, and that an ideal of the Mal'tsev algebra over a field of characteristic
0, generated by nil-elements of index 2, is locally solvable.
Supported by RFFR grant No. 96-01-01511.
Translated fromAlgebra i Logika, Vol. 37, No. 3, pp. 358–373, May–June, 1998. |