Geodesic
On topology lattices of acts over right or left zero semigroups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 24 (2023) no. 4, pp. 129-132.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this note, we describe all acts over right or left zero semigroups with modular topology lattices, as well as acts over right zero semigroups whose topology lattices are complemented. 
@article{FPM_2023_24_4_a6,
     author = {A. V. Kartashova},
     title = {On topology lattices of acts over right or left zero semigroups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {129--132},
     publisher = {mathdoc},
     volume = {24},
     number = {4},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2023_24_4_a6/}
}
TY  - JOUR
AU  - A. V. Kartashova
TI  - On topology lattices of acts over right or left zero semigroups
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2023
SP  - 129
EP  - 132
VL  - 24
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2023_24_4_a6/
LA  - ru
ID  - FPM_2023_24_4_a6
ER  - 
%0 Journal Article
%A A. V. Kartashova
%T On topology lattices of acts over right or left zero semigroups
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2023
%P 129-132
%V 24
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2023_24_4_a6/
%G ru
%F FPM_2023_24_4_a6
A. V. Kartashova. On topology lattices of acts over right or left zero semigroups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 24 (2023) no. 4, pp. 129-132. http://geodesic.mathdoc.fr/item/FPM_2023_24_4_a6/

[1] Kozhukhov I. B., “Polugruppy, nad kotorymi vse poligony rezidualno konechny”, Fundament. i prikl. matem., 4:4 (1998), 1335–1344 | MR | Zbl

[2] Plotkin B. I., Gringlaz L. Ya., Gvaramiya A. A., Elementy algebraicheskoi teorii avtomatov, Vysshaya shkola, M., 1994

[3] Skornyakov L. A., “Kharakterizatsiya kategorii poligonov”, Matem. sb, 80(122):4 (1969), 492–502 | Zbl

[4] Skornyakov L. A., Elementy obschei algebry, Nauka, M., 1983 | MR

[5] Khaliullina A. R., “Usloviya modulyarnosti reshetki kongruentsii poligona nad polugruppoi pravykh ili levykh nulei”, Dalnevost. matem. zhurn., 15:1 (2015), 102–120 | MR | Zbl

[6] Kartashova A. V., “On lattices of unary algebras”, J. Math. Sci., 114:2 (2003), 1086–1118 | DOI | MR | Zbl

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

[8] Steiner A. K., “The lattice of topologies: structure and complementation”, Trans. Amer. Math. Soc., 122 (1966), 379–398 | DOI | MR | Zbl