Geodesic
On semidirect products and wreath products of partially ordered groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 1, pp. 175-184 
E. E. Shirshova. On semidirect products and wreath products of partially ordered groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 1, pp. 175-184. http://geodesic.mathdoc.fr/item/FPM_2009_15_1_a12/
@article{FPM_2009_15_1_a12,
     author = {E. E. Shirshova},
     title = {On semidirect products and wreath products of partially ordered groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {175--184},
     year = {2009},
     volume = {15},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2009_15_1_a12/}
}
TY  - JOUR
AU  - E. E. Shirshova
TI  - On semidirect products and wreath products of partially ordered groups
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2009
SP  - 175
EP  - 184
VL  - 15
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/FPM_2009_15_1_a12/
LA  - ru
ID  - FPM_2009_15_1_a12
ER  - 
%0 Journal Article
%A E. E. Shirshova
%T On semidirect products and wreath products of partially ordered groups
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2009
%P 175-184
%V 15
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_2009_15_1_a12/
%G ru
%F FPM_2009_15_1_a12

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

The notions of Cartesian and semidirect products for partially ordered groups are considered. A series of results on those products of $\mathcal{AO}$-groups and interpolation groups is obtained. Some results concerning wreath products of directed groups are obtained.

[1] Kargapolov M. I., Merzlyakov Yu. I., Osnovy teorii grupp, Nauka, M., 1972 | MR | Zbl

[2] Kopytov V. M., Reshëtochno uporyadochennye gruppy, Nauka, M., 1984 | MR | Zbl

[3] Kopytov V. M., Medvedev N. Ya., Pravouporyadochennye gruppy, Nauchnaya kniga, Novosibirsk, 1996 | MR | Zbl

[4] Fuks L., Chastichno uporyadochennye algebraicheskie sistemy, Mir, M., 1965 | MR

[5] Shirshova E. E., “O gomomorfizmakh $AO$-grupp”, Universalnaya algebra i eë prilozheniya, Tr. uchastnikov mezhdunar. seminara, Peremena, Volgograd, 2000, 287–294

[6] Shirshova E. E., “Ob obobschenii ponyatiya ortogonalnosti i gruppakh Rissa”, Mat. zametki, 69:1 (2001), 122–132 | DOI | MR | Zbl

[7] Shirshova E. E., “Dekartovy proizvedeniya $AO$-grupp”, Mezhdunar. algebr. konf., Tezisy dokladov, M., 2008, 257–258

[8] Shirshova E. E., “On Archimedean extensions of $AO$-groups”, J. Math. Sci., 102:6 (2000), 4662–4666 | DOI | MR | Zbl

[9] Shirshova E. E., “On groups with the almost orthogonality condition”, Commun. Algebra, 28:10 (2000), 4803–4818 | DOI | MR | Zbl