Vestnik Samarskogo universiteta. Estestvennonauchnaya seriya / Vestnik of Samara University. Natural Science SeriesVestnik Samarskogo universiteta. Estestvennonauchnaya seriya / Vestnik of Samara University. Natural Science Series2541-75252712-8954Samara National Research University448810.18287/2541-7525-2015-21-3-21-28On almost nilpotent varieties in theclass of commutative metabelian algebrasMishchenkoS.P.morenov.sv@ssau.ruShulezhkoO.V.morenov.sv@ssau.ruUlyanovsk State UniversityUlyanovsk State Pedagogical University named after I.N. Ulyanov1903201521321281805201718052017Copyright © 2015, Mishchenko S., Shulezhko O.2015A well founded way of researching the linear algebra is the study of it using the identities, consequences of which is the identity of nilpotent. We know the Nagata-Higman’s theorem that says that associative algebra with nil condition of limited index over a ﬁeld of zero characteristic is nilpotent. It is well known the result of E.I.Zel’manov about nilpotent algebra with Engel identity. A set of linear algebras where a ﬁxed set of identities takes place, following A.I. Maltsev, is called a variety. The variety is called almost nilpotent if it is not nilpotent, but each its own subvariety is nilpotent. Here in the case of the main ﬁeld with zero characteristic, we proved that for any positive integer m there exist commutative metabelian almost nilpotent variety of exponent is equal to m.линейная алгебрамногообразие алгебрпочти нильпотентное многообразиеlinear algebra, variety of algebras, almost nilpotent variety