Geodesic
On congruence lattices and topology lattices of unary algebras
Čebyševskij sbornik, Tome 12 (2011) no. 2, pp. 27-33.

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

The paper is a survey of some results of investigations on congruence lattices and topology lattices of unary algebras. 
@article{CHEB_2011_12_2_a3,
     author = {A. V. Kartashova},
     title = {On congruence lattices and topology  lattices of unary algebras},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {27--33},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a3/}
}
TY  - JOUR
AU  - A. V. Kartashova
TI  - On congruence lattices and topology  lattices of unary algebras
JO  - Čebyševskij sbornik
PY  - 2011
SP  - 27
EP  - 33
VL  - 12
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a3/
LA  - ru
ID  - CHEB_2011_12_2_a3
ER  - 
%0 Journal Article
%A A. V. Kartashova
%T On congruence lattices and topology  lattices of unary algebras
%J Čebyševskij sbornik
%D 2011
%P 27-33
%V 12
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a3/
%G ru
%F CHEB_2011_12_2_a3
A. V. Kartashova. On congruence lattices and topology  lattices of unary algebras. Čebyševskij sbornik, Tome 12 (2011) no. 2, pp. 27-33. http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a3/

[1] Berman J., “On the congruence lattices of unary algebras”, Proc. Amer. Math. Soc., 36:1 (1972), 34–38 | DOI | MR | Zbl

[2] Egorova D. P., Skornyakov L. A., “O strukture kongruentsii unarnoi algebry”, Uporyadochennye mnozhestva i reshetki, 4, Saratov, 1977, 28–40 | MR | Zbl

[3] Egorova D. P., “Struktura kongruentsii unarnoi algebry”, Uporyadochennye mnozhestva i reshetki, 5, Saratov, 1978, 11–44 | MR | Zbl

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

[5] Kartashova A. V., “O reshetkakh topologii unarnykh algebr mnogoobraziya $A_{1,1}$”, Izvestiya Vuzov. Matematika, 2009, no. 4, 25–32 | MR

[6] Chajda I., Pinus A. G., Denisov A., “Lattices of quasiorders on universal algebras”, Czech. Math. J., 49:2 (1999), 291–301 | DOI | MR | Zbl

[7] Kartashova A. V., “O reshetkakh kvaziporyadkov i topologii algebr”, Fundamentalnaya i prikladnaya matematika, 14:5 (2008), 85–92 | MR

[8] Grettser G., Obschaya teoriya reshetok, Mir, M., 1982 | MR

[9] Johnson J., Seifert R. L., A survey of multi-unary algebras, Mimeographed seminar notes, UC-Berkeley, 1967

[10] Kartashova A. V., “Analog teoremy Makkenzi dlya reshetok topologii konechnykh algebr”, Fundamentalnaya i prikladnaya matematika, 11:3 (2005), 109–117 | Zbl

[11] Jonsson B., Topics in Universal Algebra, Nashville, 1970

[12] Kopeček O., “A note on some cardinal functions on unary algebras”, Proc. Klagenfurt Conf. (June 10–13, 1982, Wien), Contrib. Gen. Algebra, 2, Stutgart, 1983, 221–227 | MR | Zbl

[13] Kartashova A. V., “O konechnykh reshetkakh topologii kommutativnykh unarnykh algebr”, Diskretnaya matematika, 21:3 (2009), 119–132 | DOI | MR

[14] Maltsev A. I., Algebraicheskie sistemy, Nauka, M., 1970 | MR

[15] Esik Z., Imreh B., “Remarks on finite commutative automata”, Acta Cybernetica, 5:3 (1981), 143–146 | MR | Zbl

[16] Šmarda B., “The lattice of topologies of topological $L$-groups”, Czechosl. Math. J., 26:1 (1976), 128–136 | MR

[17] Esik Z., Imreh B., “Subdirectly irreducible commutative automata”, Acta Cybernetica, 5 (1981), 251–260 | MR | Zbl