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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