Radomír Halaš, Luboš Plojhar (2005)
Open Mathematics
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We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels.
Rodney Beazer (1985)
Czechoslovak Mathematical Journal
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A. V. Figallo, Inés Pascual, Alicia Ziliani (2004)
Mathematica Bohemica
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A topological duality for monadic -valued Łukasiewicz algebras introduced by M. Abad (Abad, M.: Estructuras cíclica y monádica de un álgebra de Łukasiewicz -valente. Notas de Lógica Matemática 36. Instituto de Matemática. Universidad Nacional del Sur, 1988) is determined. When restricted to the category of -distributive lattices and -homomorphims, it coincides with the duality obtained by R. Cignoli in 1991. A new characterization of congruences by means of certain closed and involutive...
Beazer, R. (1993)
Portugaliae mathematica
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Katrinák, T., Mikula, K. (1988)
Portugaliae mathematica
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Abad, M., Díaz Varela, J. P., Fernández, A., Meske, N., Rueda, L. (2001)
Portugaliae Mathematica. Nova Série
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Abad Manuel, Cimadamore Cecilia, Díaz Varela José, Rueda Laura, Suardíaz Ana (2005)
Open Mathematics
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In this paper, the variety of closure n-valued Łukasiewicz algebras, that is, Łukasiewicz algebras of order n endowed with a closure operator, is investigated. The lattice of subvarieties in the particular case in which the open elements form a three-valued Heyting algebra is obtained.