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

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abstract

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.

fields

math.GR 1

years

2025 1

verdicts

CONDITIONAL 1

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  • In Search of Homology for Quasigroups of Bol-Moufang Type math.GR · 2025-08-29 · conditional · none · ref 20 · internal anchor

    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.