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arXiv · 2106.11727

Gyrogroup through its Grothendieck Group Completion and Right gyrogroup action

Akshay Kumar·Mani Shankar Pandey·Seema Kushwaha·Sumit Kumar Upadhyay
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Abstract

In this article, we discuss the Grothendieck group completion (GGC) of a gyrogroup. Consequently, we show that there is a one to one correspondence between actions and representations of a gyrogroup, and actions and representations of its Grothendieck group completion. We also introduce the concept of an action of a right gyrogroup.

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Akshay Kumar, Mani Shankar Pandey, Seema Kushwaha, Sumit Kumar Upadhyay. 2021-06-22. Gyrogroup through its Grothendieck Group Completion and Right gyrogroup action. https://arxiv.org/abs/2106.11727

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