Abstract
AbstractWe compute the loops of units in the integral alternative loop rings of six Moufang loops. Four of these are subloops of the loop of matrices of determinant one in Zorn's vector matrix algebra over a ring of integers while the remaining two are closely related to this interesting algebra. This paper thus serves, in part, to highlight a Moufang analogue of SL(2, Z) which the author suggests is worthy of further study.
Publisher
Canadian Mathematical Society
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On units in loop algebra $$F[M(Dih(C_p^2),2)]$$ F [ M ( D i h ( C p 2 ) , 2 ) ];Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry;2017-06-14
2. Units in finite loop algebras of RA2 loops;Asian-European Journal of Mathematics;2016-02-22
3. Finite loop algebras ofRA2loops;Acta Scientiarum Mathematicarum;2016
4. Finite Semisimple Loop Algebras of Indecomposable RA Loops;Canadian Mathematical Bulletin;2015-06-01
5. The unit loop of finite loop algebras of loops of order 32;Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry;2013-09-11