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It is shown that operations of equivalence cannot serve for building algebraswhich would induce orthomodular lattices as the operations of implication can.Several properties of equivalence operations have been investigated.Distributivity of equivalence terms and several other 3 variable expressionsinvolving equivalence terms have been proved to hold in any orthomodularlattice. Symmetric differences have been shown to reduce to complements ofequivalence terms. Some congruence relations related to equivalence operationsand symmetric differences have been considered.

Equivalencies, Identities, Symmetric Differences, and Congruencies in Orthomodular Lattices