On the ۲-Crossed Polymodules and fundamental relations

In this paper, because of the importance of crossed modules in the study of Yang-Baxter equations in statistical mechanics, particle physics, quantum field theory and quantum group topics, we to study introduce the notion of ۲-crossed polymodule of polygroups. Also we introduce the concept of pullback and pushout ۲-crossed polymodules and we describe the construction of pullback and pushout ۲-crossed polymodules.

Keywords:

crossed modules , crossed polymodules , ۲-crossed polymodules