Geodesic
Formations of finite monounary algebras
Čebyševskij sbornik, Tome 12 (2011) no. 2, pp. 102-109 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper we characterize the lattice of subformations of an arbitrary finite formation of monounary algebras. It is proved that every finite formation of monounary algebras is a hereditary formation. 
@article{CHEB_2011_12_2_a12,
     author = {A. L. Rasstrigin},
     title = {Formations of finite monounary algebras},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {102--109},
     year = {2011},
     volume = {12},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a12/}
}
TY  - JOUR
AU  - A. L. Rasstrigin
TI  - Formations of finite monounary algebras
JO  - Čebyševskij sbornik
PY  - 2011
SP  - 102
EP  - 109
VL  - 12
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a12/
LA  - ru
ID  - CHEB_2011_12_2_a12
ER  - 
%0 Journal Article
%A A. L. Rasstrigin
%T Formations of finite monounary algebras
%J Čebyševskij sbornik
%D 2011
%P 102-109
%V 12
%N 2
%U http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a12/
%G ru
%F CHEB_2011_12_2_a12
A. L. Rasstrigin. Formations of finite monounary algebras. Čebyševskij sbornik, Tome 12 (2011) no. 2, pp. 102-109. http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a12/

[1] Shemetkov L. A., Formatsii konechnykh grupp, Nauka, M., 1978 | MR | Zbl

[2] Shemetkov L. A., Skiba A. N., Formatsii algebraicheskikh sistem, Nauka, M., 1989 | MR

[3] Kartashov V. K., “Kvazimnogoobraziya unarov”, Matem. zametki, 27:1 (1980), 7–20 | MR | Zbl

[4] Burris S., Sankappanavar H. P., A Course in Universal Algebra, Graduate Texts in Mathematics, 78, Springer-Verlag, 1981 | DOI | MR | Zbl

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

[6] Ash C. J., “Pseudovarieties, generalized varieties and similarly described classes”, J. Algebra, 92 (1985), 104–115 | DOI | MR | Zbl