Standard

Almost distributive varieties of Lie rings. / Ananichev, D. S.
In: Sbornik: Mathematics, Vol. 186, No. 4, 30.04.1995, p. 465-483.

Research output: Contribution to journal › Article › peer-review

Harvard

Ananichev, DS 1995, 'Almost distributive varieties of Lie rings', Sbornik: Mathematics, vol. 186, no. 4, pp. 465-483. https://doi.org/10.1070/SM1995v186n04ABEH000027

APA

Ananichev, D. S. (1995). Almost distributive varieties of Lie rings. Sbornik: Mathematics, 186(4), 465-483. https://doi.org/10.1070/SM1995v186n04ABEH000027

Vancouver

Ananichev DS. Almost distributive varieties of Lie rings. Sbornik: Mathematics. 1995 Apr 30;186(4):465-483. doi: 10.1070/SM1995v186n04ABEH000027

Author

Ananichev, D. S. / Almost distributive varieties of Lie rings. In: Sbornik: Mathematics. 1995 ; Vol. 186, No. 4. pp. 465-483.

BibTeX

@article{c4c7c6fc89a6405bac6b8959f0c483b8,
title = "Almost distributive varieties of Lie rings",
abstract = "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.",
author = "Ananichev, {D. S.}",
year = "1995",
month = apr,
day = "30",
doi = "10.1070/SM1995v186n04ABEH000027",
language = "English",
volume = "186",
pages = "465--483",
journal = "Sbornik: Mathematics",
issn = "1064-5616",
publisher = "Turpion Ltd.",
number = "4",

}

RIS

TY - JOUR

T1 - Almost distributive varieties of Lie rings

AU - Ananichev, D. S.

PY - 1995/4/30

Y1 - 1995/4/30

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=33644687876

U2 - 10.1070/SM1995v186n04ABEH000027

DO - 10.1070/SM1995v186n04ABEH000027

M3 - Article

VL - 186

SP - 465

EP - 483

JO - Sbornik: Mathematics

JF - Sbornik: Mathematics

SN - 1064-5616

IS - 4

ER -

ID: 55659070