On n × m-valued Łukasiewicz-Moisil algebras

Claudia Sanza

Displaying similar documents to “On n × m-valued Łukasiewicz-Moisil algebras”

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 $m p M$ -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 $4$ -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 $x \land {(\sim x)}^{*} = {(\sim (x \land {(\sim x)}^{*}))}^{*}$ . Firstly, a topological duality for these...

On the congruences in four-valued modal algebras

Figallo, Aldo V. (1992)

Portugaliae mathematica

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A Topological Approach to Tense LMn×m-Algebras

Aldo V. Figallo, Inés Pascual, Gustavo Pelaitay (2020)

Bulletin of the Section of Logic

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In 2015, tense n × m-valued Lukasiewicz–Moisil algebras (or tense LMn×m-algebras) were introduced by A. V. Figallo and G. Pelaitay as an generalization of tense n-valued Łukasiewicz–Moisil algebras. In this paper we continue the study of tense LMn×m-algebras. More precisely, we determine a Priestley-style duality for these algebras. This duality enables us not only to describe the tense LMn×m-congruences on a tense LMn×m-algebra, but also to characterize the simple and subdirectly irreducible...

Factorable congruences and strict refinement.

Iskander, A.A. (1996)

Acta Mathematica Universitatis Comenianae. New Series

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On generalized MS-Algebras

Ramalho, Margarita, Sequeira, Margarida (1987)

Portugaliae mathematica

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On finitely based varieties of algebras

Bjarni Jónsson (1979)

Colloquium Mathematicae

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Dualities for Stone algebras, double Stone algebras, and relative Stone algebras

Brian A. Davey (1982)

Colloquium Mathematicae

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Free Modal Pseudocomplemented De Morgan Algebras

Aldo V. Figallo, Nora Oliva, Alicia Ziliani (2018)

Bulletin of the Section of Logic

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Modal pseudocomplemented De Morgan algebras (or mpM-algebras) were investigated in A. V. Figallo, N. Oliva, A. Ziliani, Modal pseudocomplemented De Morgan algebras, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 53, 1 (2014), pp. 65–79, and they constitute a proper subvariety of the variety of pseudocomplemented De Morgan algebras satisfying xΛ(∼x)* = (∼(xΛ(∼x)*))* studied by H. Sankappanavar in 1987. In this paper the study of these algebras is continued. More precisely, new...

The coherent algebras in the varieties $K_{n, m}$ of Ockham algebras

Ramalho, Margarita (1993)

Portugaliae mathematica

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Congruences of $n$ -group and of associated Hosszú-Gluskin algebras.

Ušan, Janez (1998)

Novi Sad Journal of Mathematics

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Congruences of pseudocomplemented algebras

Prata dos Santos, R. (1983-1984)

Portugaliae mathematica

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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.