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Subdirectly irreducible quasi-modal algebras. (English) Zbl 1138.06300

Summary: In this paper we give suitable notions of congruences and subdirectly irreducible algebras for the class of quasi-modal algebras introduced in [S. Celani, Math. Bohem. 126, 721–736 (2001; Zbl 0999.06012)]. We also prove some characterizations of subdirectly irreducible algebras following the similar results given by G. Sambin for modal algebras.

MSC:

06E25 Boolean algebras with additional operations (diagonalizable algebras, etc.)
03G25 Other algebras related to logic

Citations:

Zbl 0999.06012
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