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Entropic magmas, their homology, and related invariants of links and graphs

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arxiv 1211.2951 v1 pith:O2S4UFRO submitted 2012-11-13 math.GT

Maciej Niebrzydowski (ULL) , Józef H. Przytycki (GWU , UG) This is my paper · ORCID
classification math.GT
keywords entropicmagmasdefinehomologyinvariantsassignedbracketcompatible
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We define link and graph invariants from entropic magmas modeling them on the Kauffman bracket and Tutte polynomial. We define the homology of entropic magmas. We also consider groups that can be assigned to the families of compatible entropic magmas.

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  1. In Search of Homology for Quasigroups of Bol-Moufang Type

    math.GR 2025-08 conditional novelty 6.0 of 10

    The paper defines ∂2 and ∂3 boundary maps for Bol-Moufang quasigroups and computes H1 and H2 for the distinguishing examples of Phillips and Vojtechovsky.

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