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On the commutativity degree of a group algebra
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On subpolygroup commutativity degree of finite polygroups
<abstract><p>Probabilistic group theory is concerned with the probability of group elements or group subgroups satisfying certain conditions. On the other hand, a polygroup is a generalization of a group and a special case of a hypergroup. This paper generalizes probabilistic group theory to probabilistic polygroup theory.
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Subpolygroup commutativity degree of finite extension polygroup
International Journal of Algebra and Computation, 2023In this paper, we consider finite extension polygroups as a special class of polygroups to study probabilistic polygroup theory. In this regard, we study the subpolygroup lattice of the extension polygroups. By using the results of the subpolygroup lattice, we obtain an explicit formula for the subpolygroup commutativity degree of the extension ...
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