Geodesic
Congruence lattices of S-acts over a well-ordered monoid
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1147-1157 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this article, we describe the S-acts over a well-ordered monoid such that the corresponding congruence lattice is distributive or totally ordered.
Keywords: lattice, totally ordered lattice, distributive lattice, congruence lattice of algebra, S-act. 
@article{SEMR_2019_16_a58,
     author = {A. A. Stepanova and M. S. Kazak},
     title = {Congruence lattices of {S-acts} over a well-ordered monoid},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1147--1157},
     year = {2019},
     volume = {16},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a58/}
}
TY  - JOUR
AU  - A. A. Stepanova
AU  - M. S. Kazak
TI  - Congruence lattices of S-acts over a well-ordered monoid
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2019
SP  - 1147
EP  - 1157
VL  - 16
UR  - http://geodesic.mathdoc.fr/item/SEMR_2019_16_a58/
LA  - ru
ID  - SEMR_2019_16_a58
ER  - 
%0 Journal Article
%A A. A. Stepanova
%A M. S. Kazak
%T Congruence lattices of S-acts over a well-ordered monoid
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2019
%P 1147-1157
%V 16
%U http://geodesic.mathdoc.fr/item/SEMR_2019_16_a58/
%G ru
%F SEMR_2019_16_a58
A. A. Stepanova; M. S. Kazak. Congruence lattices of S-acts over a well-ordered monoid. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1147-1157. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a58/

[1] D.P. Egorova, “The stucture of the congruence of the unary algebra”, Mejvuzovkii nauchnii sbornik, Uporyad. Mnozhestva Reshetki, 5, 1978, 11–44 | Zbl

[2] D.O. Ptahov, A.A. Stepanova, “The lattices of congruence of connected acts”, Far Eastern Mathematical Journal, 13:1 (2013), 107–116 | Zbl

[3] A.R. Haliullina, “The lattices of S-acts over groups”, The materials of the 20-th all-Russian interuniversity scientific and technological conference of students and graduate students «Microelectronics and Informatics-2013» (Moscow, 2013), 148

[4] M. Kilp, U. Knauer, A.V. Mikhalev, Monoids, Acts, and Categories, Walter de Gruyter, Berlin, 2000 | Zbl

[5] L.A. Skornyakov, Elements of abstract algebra, Nauka, M., 1983 (Russian) | Zbl