Celani, S. A. Subdirectly irreducible quasi-modal algebras. (English) Zbl 1138.06300 Acta Math. Univ. Comen., New Ser. 74, No. 2, 219-228 (2005). 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. Cited in 5 Documents MSC: 06E25 Boolean algebras with additional operations (diagonalizable algebras, etc.) 03G25 Other algebras related to logic Keywords:Boolean algebras, quasi-modal algebras, Boolean spaces with relations, \(q\)-congruences, simple and subdirectly irreducible quasi-modal algebras Citations:Zbl 0999.06012 PDFBibTeX XMLCite \textit{S. A. Celani}, Acta Math. Univ. Comen., New Ser. 74, No. 2, 219--228 (2005; Zbl 1138.06300) Full Text: EuDML EMIS