Geodesic
On nonsemiassociativity of polyadic operation $\eta_{s, \sigma, k}$
Problemy fiziki, matematiki i tehniki, no. 1 (2017), pp. 68-72 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Sufficient conditions of nonsemiassociativity of a polyadic operation $\eta_{s, \sigma, k}$ which is determined on a Cartesian power $A^k$ of $n$-ary $\langle A,\eta\rangle$ semigroup with substitution $\sigma$ of a range $\{1,\dots,k\}$ and $n$-ary operation $\eta$ are found.
Keywords: polyadic operation, semigroup, semiassociativity, neutral sequence.
Mots-clés : groupoid 
@article{PFMT_2017_1_a10,
     author = {A. D. Rusakou},
     title = {On nonsemiassociativity of polyadic operation $\eta_{s, \sigma, k}$},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {68--72},
     year = {2017},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2017_1_a10/}
}
TY  - JOUR
AU  - A. D. Rusakou
TI  - On nonsemiassociativity of polyadic operation $\eta_{s, \sigma, k}$
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2017
SP  - 68
EP  - 72
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/PFMT_2017_1_a10/
LA  - ru
ID  - PFMT_2017_1_a10
ER  - 
%0 Journal Article
%A A. D. Rusakou
%T On nonsemiassociativity of polyadic operation $\eta_{s, \sigma, k}$
%J Problemy fiziki, matematiki i tehniki
%D 2017
%P 68-72
%N 1
%U http://geodesic.mathdoc.fr/item/PFMT_2017_1_a10/
%G ru
%F PFMT_2017_1_a10
A. D. Rusakou. On nonsemiassociativity of polyadic operation $\eta_{s, \sigma, k}$. Problemy fiziki, matematiki i tehniki, no. 1 (2017), pp. 68-72. http://geodesic.mathdoc.fr/item/PFMT_2017_1_a10/

[1] A. M. Galmak, A. D. Rusakov, “O poliadicheskikh operatsiyakh na dekartovykh stepenyakh”, Izvestiya GGU im. F. Skoriny, 2014, no. 3, 35–40

[2] A. M. Galmak, “Mnogomestnye assotsiativnye operatsii na dekartovykh stepenyakh”, Vestsi NAN Belarusi, 2008, no. 3, 28–34

[3] E. L. Post, “Polyadic groups”, Trans. Amer. Math. Soc., 48:2 (1940), 208–350 | DOI | MR

[4] A. M. Galmak, “Ob assotsiativnosti poliadicheskikh gruppoidov”, Vesnik MDU im. A. A. Kulyashova, 2017, no. 1, 4–11

[5] A. M. Galmak, “Obobschennye poliadicheskie operatsii”, Problemy fiziki, matematiki i tekhniki, 2013, no. 2(15), 50–57

[6] A. M. Galmak, Mnogomestnye operatsii na dekartovykh stepenyakh, Izd. tsentr BGU, Minsk, 2009, 265 pp.