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On set-theoretic Yang-Baxter cohomology groups of cyclic biquandles

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 نشر من قبل Seung Yeop Yang
 تاريخ النشر 2021
  مجال البحث
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We determine the Betti numbers for the (degenerate and normalized) set-theoretic Yang-Baxter (co)homology groups of cyclic biquandles and estimate their torsion subgroups. This partially settles the conjecture presented by Przytycki, Vojtechovsky, and Yang. We also obtain cocycles which are representatives of the elements of a basis for the free part of the cohomology group of a cyclic biquandle.

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