Dualities for Stone algebras, double Stone algebras, and relative Stone algebras
Brian A. Davey (1982)
Colloquium Mathematicae
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Displaying similar documents to “The coherent algebras in the varieties of Ockham algebras”
Dualities for Stone algebras, double Stone algebras, and relative Stone algebras
On finitely based varieties of algebras
Bjarni Jónsson (1979)
Colloquium Mathematicae
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The Sheffer stroke operation reducts of basic algebras
Tahsin Oner, Ibrahim Senturk (2017)
Open Mathematics
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In this study, a term operation Sheffer stroke is presented in a given basic algebra 𝒜 and the properties of the Sheffer stroke reduct of 𝒜 are examined. In addition, we qualify such Sheffer stroke basic algebras. Finally, we construct a bridge between Sheffer stroke basic algebras and Boolean algebras.
Relative congruence distributivity within quasivarieties of nearly associative Φ-algebras
Wiesław Dziobiak (1990)
Fundamenta Mathematicae
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Congruence pairs for algebras abstracting Kleene and Stone algebras
Rodney Beazer (1985)
Czechoslovak Mathematical Journal
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Closure Łukasiewicz algebras
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.
Modal Pseudocomplemented De Morgan Algebras
Aldo V. Figallo, Nora Oliva, Alicia Ziliani (2014)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Modal pseudocomplemented De Morgan algebras (or -algebras for short) are investigated in this paper. This new equational class of algebras was introduced by A. V. Figallo and P. Landini ([Figallo, A. V., Landini, P.: Notes on -valued modal algebras Preprints del Instituto de Ciencias Básicas, Univ. Nac. de San Juan 1 (1990), 28–37.]) and they constitute a proper subvariety of the variety of all pseudocomplemented De Morgan algebras satisfying . Firstly, a topological duality for these...
On cyclic symmetric Heyting algebras.
Abad, M., Díaz Varela, J. P., Fernández, A., Meske, N., Rueda, L. (2001)
Portugaliae Mathematica. Nova Série
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Not every equational class of infinitary algebras contains a simple algebra
Evelyn Nelson (1974)
Colloquium Mathematicae
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On n × m-valued Łukasiewicz-Moisil algebras
Claudia Sanza (2008)
Open Mathematics
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n×m-valued Łukasiewicz algebras with negation were introduced and investigated in [20, 22, 23]. These algebras constitute a non trivial generalization of n-valued Łukasiewicz-Moisil algebras and in what follows, we shall call them n×m-valued Łukasiewicz-Moisil algebras (or LM n×m -algebras). In this paper, the study of this new class of algebras is continued. More precisely, a topological duality for these algebras is described and a characterization of LM n×m -congruences in terms of...