On the existence of A-loops with some commutative inner mappings and others of order 2

Details On the existence of A-loops with some commutative inner mappings and others of order 2 On the existence of A-loops with some commutative inner mappings and others of order 2

2007-07-30

arxiv.org/abs/0707.4447v1

South East Asian Bulletin of Mathematics, Vol. 33 (2009), 853-864.

Mathematics

General Mathematics

12 pages. Southeast Asian Bulletin of Mathematics(to appear)

Scientific paper

The existence of A$_\rho$-loops, A$_\lambda$-loops and A$_\mu$-loops that are
neither extra loops nor CC-loops such that any two of their inner mappings
$R(x,y),L(x,y)$ and $T(x)$ commute while the other one is of order 2 is shown.

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