Involutive right-residuated l-groupoids
classification
🧮 math.LO
keywords
latticesalgebrasgeneralizationl-groupoidsorthomodularright-residuatedappliedbasic
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A common generalization of orthomodular lattices and residuated lattices is provided corresponding to bounded lattices with an involution and sectionally extensive mappings. It turns out that such a generalization can be based on integral right-residuated l-groupoids. This general framework is applied to MV-algebras,orthomodular lattices, Nelson algebras, basic algebras and Heyting algebras.
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