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Transformation Semigroups Which Are Disjoint Union of Symmetric Groups

math.RA · 2024-11-22 · conditional · novelty 6.0

For the kernel Q_E*(X) of the double-direction equivalence preserving transformation semigroup, the paper proves rank = max(2, product of equivalence class sizes), an isomorphism criterion, and the count of maximal subsemigroups.

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  • Transformation Semigroups Which Are Disjoint Union of Symmetric Groups math.RA · 2024-11-22 · conditional · none · ref 6

    For the kernel Q_E*(X) of the double-direction equivalence preserving transformation semigroup, the paper proves rank = max(2, product of equivalence class sizes), an isomorphism criterion, and the count of maximal subsemigroups.