Geodesic
On regular paramedial division algebras
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 56 (2022) no. 3, pp. 107-115

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

In this paper $n$-ary regular division algebras are discussed, which are satisfying the hyperidentity of paramediality. It is shown that every operation in $n$-ary regular paramedial division algebra will be linearly represented over the same Abelian group. Similar results already obtained for regular medial division algebras in [1].
Keywords: hyperidentities, regular division groupoids, paramedial groupoids, $n$-ary groupoids, quasiendomorphisms. 
@article{UZERU_2022_56_3_a2,
     author = {D. N. Harutyunyan},
     title = {On regular paramedial division algebras},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {107--115},
     publisher = {mathdoc},
     volume = {56},
     number = {3},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2022_56_3_a2/}
}
TY  - JOUR
AU  - D. N. Harutyunyan
TI  - On regular paramedial division algebras
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2022
SP  - 107
EP  - 115
VL  - 56
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2022_56_3_a2/
LA  - en
ID  - UZERU_2022_56_3_a2
ER  - 
%0 Journal Article
%A D. N. Harutyunyan
%T On regular paramedial division algebras
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2022
%P 107-115
%V 56
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2022_56_3_a2/
%G en
%F UZERU_2022_56_3_a2
D. N. Harutyunyan. On regular paramedial division algebras. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 56 (2022) no. 3, pp. 107-115. http://geodesic.mathdoc.fr/item/UZERU_2022_56_3_a2/