ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXIV, 2 (2005)
p. 219 - 228

Subdirectly irreducible quasi-modal algebras
S. A. Celani


Abstract.  In this paper we give suitable notions of congruences and subdirectly irreducible algebras for the class of quasi-modal algebras introduced in [1]. We also prove some characterizations of subdirectly irreducible algebras following the similar results given by G. Sambin  for modal algebras.

Keywords:   Boolean algebras, quasi-modal algebras, Boolean spaces with relations, q-congruences, simple and subdirectly irreducible quasi-modal algebras

AMS Subject classification:  06E25, 03G25

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