On crossed polysquare version of homotopy kernels

M.A. Dehghani, Bijan Davvaz, M. Alp

Abstract


In this paper, we introduce the notion of braiding crossed
polymodule and $\Gamma$\_equivariant braided crossed polymodule of
polygroups and we give some of its properties. Further we have
concept Fiber hyper product. Our results extend the classical
results of crossed squares to crossed polysquares. One of the main
tools in the study to polygroups is the fundamental relations.
Additionally, we study on crossed polysquare version of homotopy
kernels.



Keywords


algebraic hyperstructures, polygroups, homotopy kernels

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