Document Type : Research Paper

Authors

• Akbar Dehghan Nezhad ^{1, 2}
• Shiva Fatehi Boroujenib ²
• Alireza Ahmadi ²

¹ School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846 -13114, Iran

² Department of Mathematical Sciences, Yazd University, 89195--741, Yazd, Iran

Abstract

This work is intended to probe the connections between the diffeology and gyrogroup by introducing the notion of diffeological gyrogroup and proceeding with the study of some basic facts about it. The theory is developed by the study of smooth action of a diffeological gyrogroup.
    

Keywords

• diffeology
• gyrogroups
• diffeological gyrogroups
• action of diffeological gyrogroups