FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 4, PAGES 955-978

Series of just-non-distributive varieties of Lie rings

D. S. Ananichev

Abstract

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A variety is said to be just-non-distributive if its subvariety lattice is non-distributive but each of its proper subvarieties has a distributive subvariety lattice. In the present paper an example of two series of just-non-distributive varieties of Lie rings are constructed.

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Last modified: December 9, 1999