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

Temitope Gbolahan Jaiyeola; Olushola John Adeniran

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arXiv · 0707.4447

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

Temitope Gbolahan Jaiyeola·Olushola John Adeniran

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Abstract

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.

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Temitope Gbolahan Jaiyeola, Olushola John Adeniran. 2007-07-30. On the existence of A-loops with some commutative inner mappings and others of order 2. https://arxiv.org/abs/0707.4447

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