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math.LO2020
Semidistributivity and Whitman Property in Implication Zroupoids
Juan M. Cornejo, Hanamantagouda P. Sankappanavar
In 2012, the second author introduced and studied the variety of implication zroupoids that generalize De Morgan algebras and -semilattices with . An algebra…
math.LO2020★ 2 cited
A Categorial Equivalence for semi-Nelson algebras
Juan Manuel Cornejo, Andrés Gallardo, Ignacio Viglizzo
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 mu…
math.LO2020
Implication Zroupoids and Birkhoff Systems
Juan M. Cornejo, Hanamantagouda P. Sankappanavar
An algebra , where is binary and is a constant, is called an implication zroupoid (I-zroupoid, for short) if A satisfies the identities: $(…