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arXiv · 2304.11759

Right Feeble Groups

Hiba F. Fayoumi·Hee Sik Kim
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Abstract

Right feeble groups are defined as groupoids $(X,*)$ such that (i) $x, y\in X$ implies the existence of $a, b \in X$ such that $a*x = y$ and $b*y = x$. Furthermore, (ii) if $x, y, z \in X$ then there is an element $w\in X$ such that $x*(y*z) = w*z$. These groupoids have a "remnant" group structure, which includes many other groupoids. In this paper, we investigate some properties of these groupoids. Enough examples are supplied to support the argument that they form a suitable class for systematic investigation.

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Hiba F. Fayoumi, Hee Sik Kim. 2023-04-23. Right Feeble Groups. https://arxiv.org/abs/2304.11759

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