Let N2 be the variety of left-nilpotent algebras of index two, that is the variety of algebras satisfying the identity x(yz). ≡ 0. We introduce two new varieties, denoted by Vsym and Valt, contained in the variety N2 and we prove that Vsym and Valt are the only two varieties almost nilpotent of subexponential growth.
Mishchenko, S., Valenti, A. (2015). On almost nilpotent varieties of subexponential growth. JOURNAL OF ALGEBRA, 423, 902-915 [10.1016/j.jalgebra.2014.10.038].
On almost nilpotent varieties of subexponential growth
VALENTI, Angela
2015-02-01
Abstract
Let N2 be the variety of left-nilpotent algebras of index two, that is the variety of algebras satisfying the identity x(yz). ≡ 0. We introduce two new varieties, denoted by Vsym and Valt, contained in the variety N2 and we prove that Vsym and Valt are the only two varieties almost nilpotent of subexponential growth.
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