On the existence of A-loops with some commutative inner mappings and others of order 2
The existence of A$_ρ$-loops, A$_λ$-loops and A$_μ$-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.
math.GM↗