Geodesic
Special Elements of the Lattice of Overcommutative Varieties of Semigroups
Matematičeskie zametki, Tome 70 (2001) no. 5, pp. 670-678 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The distributive, codistributive, standard, costandard, and neutral elements of the lattice of overcommutative varieties of semigroups are completely described. 
@article{MZM_2001_70_5_a2,
     author = {B. M. Vernikov},
     title = {Special {Elements} of the {Lattice} of {Overcommutative} {Varieties} of {Semigroups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {670--678},
     year = {2001},
     volume = {70},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_70_5_a2/}
}
TY  - JOUR
AU  - B. M. Vernikov
TI  - Special Elements of the Lattice of Overcommutative Varieties of Semigroups
JO  - Matematičeskie zametki
PY  - 2001
SP  - 670
EP  - 678
VL  - 70
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MZM_2001_70_5_a2/
LA  - ru
ID  - MZM_2001_70_5_a2
ER  - 
%0 Journal Article
%A B. M. Vernikov
%T Special Elements of the Lattice of Overcommutative Varieties of Semigroups
%J Matematičeskie zametki
%D 2001
%P 670-678
%V 70
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_2001_70_5_a2/
%G ru
%F MZM_2001_70_5_a2
B. M. Vernikov. Special Elements of the Lattice of Overcommutative Varieties of Semigroups. Matematičeskie zametki, Tome 70 (2001) no. 5, pp. 670-678. http://geodesic.mathdoc.fr/item/MZM_2001_70_5_a2/

[1] Volkov M. V., “Young diagrams and the structure of the lattice of overcommutative semigroup varieties”, Transformation Semigroups, Proc. Int. Conf. (Univ. Essex. Colchester, 1994), 99–110 | Zbl

[2] Vernikov B. M., “On congruences of $G$-sets”, Comment. Math. Univ. Carol., 38:3 (1997), 601–611 | MR

[3] Vernikov B. M., “Distributivity, modularity, and related conditions in lattices of overcommutative semigroup varieties”, Semigroups with Applications, Including Semigroup Rings, St. Petersburg, 1999, 411–439 | Zbl

[4] Vernikov B. M., “Quasiidentities implying modularity and related conditions in lattices of overcommutative semigroup varieties”, Semigroup Forum, 57:1 (1998), 142–150 | DOI | MR | Zbl

[5] Grettser G., Obschaya teoriya reshetok, Mir, M., 1982

[6] McKenzie R. N., McNulty G. F., Taylor W. F., Algebras. Lattices. Varieties, V. I, Wadsworth/Cole, Monterey, 1987

[7] Schmidt R., Subgroup Lattices of Groups, Walter de Gruyter, Berlin, 1994 | Zbl

[8] Evans T., “The lattice of semigroup varieties”, Semigroup Forum, 2:1 (1971), 1–43 | DOI | MR | Zbl