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arXiv · 2007.14459

A Categorial Equivalence for semi-Nelson algebras

Juan Manuel Cornejo·Andrés Gallardo·Ignacio Viglizzo
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Abstract

We present a category equivalent to that of semi-Nelson algebras. The objects in this category are pairs consisting of a semi-Heyting algebra and one of its filters. The filters must contain all the dense elements of the semi-Heyting algebra and satisfy an additional technical condition. We also show that in the case of dually hemimorphic semi-Nelson algebras, the filters are not necessary and the category is equivalent to that of dually hemimorphic semi-Heyting algebras.

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Juan Manuel Cornejo, Andrés Gallardo, Ignacio Viglizzo. 2020-07-28. A Categorial Equivalence for semi-Nelson algebras. https://doi.org/10.1007/s00500-021-06198-y

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