A note on residuated po-groupoids and lattices with antitone involutions

Published 29 Aug 2018 in math.RA | (1808.10293v1)

Abstract: Following [Botur, M., Chajda, I., Hala\v{s}, R.: Are basic algebras residuated structures?, Soft Comput. 14 (2010), 251-255] we discuss the connections between left-residuated partially ordered groupoids and the so-called basic algebras, which are a non-commutative and non-associative generalization of MV-algebras and orthomodular lattices.

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