On ring-like event systems in quantum logic

A class of ring-like structures events (RLSEs) is studied that generalizes Boolean rings. Quantum logics represented by orthomodular lattices are characterized within this and the correspondence between algebras rings enlarged to lattices. The structure RLSEs various subclasses analyzed classical especially identified. Moreover, sets numerical different contexts physical problems described. event defined as a function [Formula: see text] from set states system such probability occurrence an when in state text]. In particular, question answered whether given (small) will give rise assumption one deals with or quantum-mechanical one.