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Orthomodular lattices can be converted into left residuated l-groupoids (1810.00032v1)
Published 28 Sep 2018 in math.RA and math.CO
Abstract: We show that every orthomodular lattice can be considered as a left residuated l-groupoid satisfying divisibility, antitony, the double negation law and three more additional conditions expressed in the language of residuated structures. Also conversely, every left residuated l-groupoid satisfying the mentioned conditions can be organized into an orthomodular lattice.
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