Monadic $$k\times j$$ k × j -rough Heyting algebras

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Archive for Mathematical Logic 61 (5):611-625 (2022)
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Abstract

In this paper, we introduce the variety of algebras, which we call monadic \-rough Heyting algebras. These algebras constitute an extension of monadic Heyting algebras and in \ case they coincide with monadic 3-valued Łukasiewicz–Moisil algebras. Our main interest is the characterization of simple and subdirectly irreducible monadic \-rough Heyting algebras. In order to this, an Esakia-style duality for these algebras is developed.

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10.1007/s00153-021-00802-6

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