Crossed modules with action

• Date: 2024
• Main Authors: Çetin, Selim, Gürdal, Utku
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2024
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7371
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 Following the idea of a group with action, in a higher dimension,  we consider crossed modules with a given crossed-module action upon itself. A category of these objects $\mathbf{XMod}^*$ is given by replacing the set of morphisms in the category $\mathbf{Gr}^*$...