O., T.: Algebra as the Unique Top-Down Projection of Operational Structure: A Structural Theorem from Operatiology and Noology

_Zenodo_. 2026Operatiology, derived from Noology through the three primitive notions of Ordo, Consensus, and Arbitrium, establishes the rank-3 minimal operational closure C⁽…Operatiology, derived from Noology through the three primitive notions of Ordo, Consensus, and Arbitrium, establishes the rank-3 minimal operational closure C⁽³⁾_Πd as the unique structure satisfying the executive axiom system {A1, A2, A4} together with the Operational-Geometric Coupling. The companion paper on the top-down