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arXiv · 1810.09534

Involutive right-residuated l-groupoids

Ivan Chajda·Sandor Radeleczki
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Abstract

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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BibTeXRIS

Ivan Chajda, Sandor Radeleczki. 2018-10-22. Involutive right-residuated l-groupoids. https://doi.org/10.1007/s00500-015-1765-7

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