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  1. A Logic for Dually Hemimorphic Semi-Heyting Algebras and its Axiomatic Extensions.Juan Manuel Cornejo & Hanamantagouda P. Sankappanavar - 2022 - Bulletin of the Section of Logic 51 (4):555-645.
    The variety \(\mathbb{DHMSH}\) of dually hemimorphic semi-Heyting algebras was introduced in 2011 by the second author as an expansion of semi-Heyting algebras by a dual hemimorphism. In this paper, we focus on the variety \(\mathbb{DHMSH}\) from a logical point of view. The paper presents an extensive investigation of the logic corresponding to the variety of dually hemimorphic semi-Heyting algebras and of its axiomatic extensions, along with an equally extensive universal algebraic study of their corresponding algebraic semantics. Firstly, we present a (...)
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