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تسجيل مستخدم جديدGyrogroup through its Grothendieck Group Completion and Right gyrogroup action
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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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