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arXiv · 1812.07321

Q-graded Hopf quasigroups

Guodong Shi·Shuanhong Wang
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Abstract

Firstly, we introduce a class of new algebraic systems which generalize Hopf quasigroups and Hopf $π-$algebras called $Q$-graded Hopf quasigroups, and research some properties of them. Secondly, we define the representations of $Q$-graded Hopf quasigroups, i.e $Q$-graded Hopf quasimodules, research the construction method and fundamental theorem of them. Thirdly, we research the smash products of $Q$-graded Hopf quasigroups.

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Guodong Shi, Shuanhong Wang. 2019-03-19. Q-graded Hopf quasigroups. https://arxiv.org/abs/1812.07321

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