Weakly regular unars with standard Mal'tsev operation
Čebyševskij sbornik, Tome 14 (2013) no. 4, pp. 146-153.

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

In this work is given the complete description of weakly regular unars with standard Mal'tsev operation.
Keywords: weakly regular algebra, unar with Mal'tsev operation, regularity of congruences, uniformity of congruences.
@article{CHEB_2013_14_4_a11,
     author = {A. N. Lata},
     title = {Weakly regular unars with standard {Mal'tsev} operation},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {146--153},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_4_a11/}
}
TY  - JOUR
AU  - A. N. Lata
TI  - Weakly regular unars with standard Mal'tsev operation
JO  - Čebyševskij sbornik
PY  - 2013
SP  - 146
EP  - 153
VL  - 14
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2013_14_4_a11/
LA  - ru
ID  - CHEB_2013_14_4_a11
ER  - 
%0 Journal Article
%A A. N. Lata
%T Weakly regular unars with standard Mal'tsev operation
%J Čebyševskij sbornik
%D 2013
%P 146-153
%V 14
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2013_14_4_a11/
%G ru
%F CHEB_2013_14_4_a11
A. N. Lata. Weakly regular unars with standard Mal'tsev operation. Čebyševskij sbornik, Tome 14 (2013) no. 4, pp. 146-153. http://geodesic.mathdoc.fr/item/CHEB_2013_14_4_a11/

[1] Grätzer G., “Two Mal'cev-Type Theorems in Universal Algebra”, J. of Combinatorial Theory, 8 (1970), 334–342 | DOI | MR | Zbl

[2] Taylor W., “Uniformity of conrguences”, Algebra Universalis, 4 (1974), 342–360 | DOI | MR | Zbl

[3] Chajda I., Länger H., “A note on congruence uniformity for single algebras”, Dem. Math., 37 (2004), 9–11 | MR | Zbl

[4] Thurston H. A., “Derived operations and congruences”, Proc. London Math. Soc. (3), 8 (1958), 127–134 | DOI | MR | Zbl

[5] Chajda I., “Algebras with restricted cardinalities of congruence classes”, Novi Sad J. Math., 37:1 (2007), 49–51 | MR | Zbl

[6] Bulatov A. A., “The property of being polynomial for Mal'tsev constraint satisfaction problems”, Algebra and Logic, 45:6 (2006), 371–388 | DOI | MR | Zbl

[7] Kartashov V. K., “About unars with Mal'tsev operation”, Universal'naia algebra i ee prilozheniia, Tez. dokl. mezhdunar. sem. (Volgograd, 1999), 31–32 (in Russian)

[8] Usol'tsev V. L., “Simple and pseudosimple algebras with operators”, J. of Mathematical Sciences, 164:2 (2010), 281–293 | DOI | MR

[9] Usol'tsev V. L., “About subdirect irreducible unars with Mal'tsev operation”, Izvestiia VGPU, ser. “Estestv. i fiz.-mat. nauki”, 2005, no. 4(13), 17–24 (in Russian)

[10] Lata A. N., “Uniform unars with standard Mal'tsev operation”, Vestnik SNO, 2012, no. 28, 227–231 (in Russian)

[11] Lata A. N., “Regular unars with standard Mal'tsev operation”, Student i nauchno-tekhnicheskii progress: Matematika, Mat. 51-i mezhdunar. nauch. stud. konf. (Novosibirsk, 2013), 12 (in Russian)

[12] Wenzel G. H., “Subdirect irreducibility and equational compactness in unary algebras $\langle A; f \rangle$”, Arch. Math. (Basel), 21 (1970), 256–264 | DOI | MR | Zbl