Geodesic
Moufang loops arising from Zorn vector matrix algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 2, pp. 371-388.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In ``A class of simple Moufang loops'', Proc. Amer. Math. Soc. {\bf 7} (1956), 471--482, Paige used the vector matrix construction over fields to produce simple Moufang loops. The purpose of this paper is to generalize the construction to the class of commutative rings, and examine the Moufang loops arising in this fashion. Specific attention is paid to the construction over the ring of integers modulo four.
Classification : 20N05
Keywords: Zorn vector matrix; Moufang loop; Paige loop 
@article{CMUC_2010__51_2_a21,
     author = {Wells, Andrew},
     title = {Moufang loops arising from {Zorn} vector matrix algebras},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {371--388},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {2010},
     mrnumber = {2682488},
     zbl = {1211.20068},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2010__51_2_a21/}
}
TY  - JOUR
AU  - Wells, Andrew
TI  - Moufang loops arising from Zorn vector matrix algebras
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2010
SP  - 371
EP  - 388
VL  - 51
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2010__51_2_a21/
LA  - en
ID  - CMUC_2010__51_2_a21
ER  - 
%0 Journal Article
%A Wells, Andrew
%T Moufang loops arising from Zorn vector matrix algebras
%J Commentationes Mathematicae Universitatis Carolinae
%D 2010
%P 371-388
%V 51
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2010__51_2_a21/
%G en
%F CMUC_2010__51_2_a21
Wells, Andrew. Moufang loops arising from Zorn vector matrix algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 2, pp. 371-388. http://geodesic.mathdoc.fr/item/CMUC_2010__51_2_a21/