CROSSED POLYMODULES AND FUNDAMENTAL RELATIONS
CROSSED POLYMODULES AND FUNDAMENTAL RELATIONS
In this paper, we introduce the notion of crossed polymodule of polygroups and we give some of its properties. Our results extend the classical results of crossed modules to crossed polymodules. One of the main tools in the study of polygroups is the fundamental relations. These relations connect polygroups to groups, and on the other hand, introduce new important classes. So, we consider a crossed polymodule and by using the concept of fundamental relation, we obtain a crossed module. Moreover, we give a crossed polymodule morphism between them.
- Niğde University Turkey
crossed polymodule, fundamental relation, Fundamen-tal relation, Action, Crossed polymodule, polygroup, Crossed module, action, Polygroup, crossed module
crossed polymodule, fundamental relation, Fundamen-tal relation, Action, Crossed polymodule, polygroup, Crossed module, action, Polygroup, crossed module
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