𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The unit loop of finite loop algebras of loops of order 32

✍ Scribed by Sidana, Swati; Sharma, R. K.


Book ID
121625958
Publisher
Springer-Verlag
Year
2013
Tongue
English
Weight
208 KB
Volume
56
Category
Article
ISSN
0138-4821

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Loop algebras of code loops
✍ de Barros, Luiz G. X.; Polcino Milies, CΓ©sar πŸ“‚ Article πŸ“… 1995 πŸ› Taylor and Francis Group 🌐 English βš– 342 KB
Modular Loop Algebras of R.A. Loops
✍ L.G.X. Debarros; C.P. Milies πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 572 KB
Admissible Orders of Jordan Loops
✍ Michael K. Kinyon; Kyle Pula; Petr VojtΔ›chovskΓ½ πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 164 KB

## Abstract A commutative loop is Jordan if it satisfies the identity __x__^2^(__yx__) = (__x__^2^__y__)__x__. Using an amalgam construction and its generalizations, we prove that a nonassociative Jordan loop of order __n__ exists if and only if __n__≧ 6 and __n__β‰  9. We also consider whether power