Almost distributive varieties of Lie rings
Sbornik. Mathematics, Tome 186 (1995) no. 4, pp. 465-483
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Two possible approaches to the description of varieties whose lattice of subvarieties is distributive are discussed, namely, descriptions based on maximal distributive and minimal non-distributive varieties. It is shown that there are no maximal distributive varieties for a wide class of generalized solvable Lie rings but that each non-distributive variety contains an almost distributive subvariety.
@article{SM_1995_186_4_a0,
author = {D. S. Ananichev},
title = {Almost distributive varieties of {Lie} rings},
journal = {Sbornik. Mathematics},
pages = {465--483},
publisher = {mathdoc},
volume = {186},
number = {4},
year = {1995},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1995_186_4_a0/}
}
D. S. Ananichev. Almost distributive varieties of Lie rings. Sbornik. Mathematics, Tome 186 (1995) no. 4, pp. 465-483. http://geodesic.mathdoc.fr/item/SM_1995_186_4_a0/