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Aldo V. Figallo [7]Aldo Figallo [3]Aldo Victorio Figallo [1]Aldo Figallo Jr [1]
  1.  9
    Subdirectly Irreducible IKt-Algebras.Aldo V. Figallo, Inés Pascual & Gustavo Pelaitay - 2017 - Studia Logica 105 (4):673-701.
    The IKt-algebras that we investigate in this paper were introduced in the paper An algebraic axiomatization of the Ewald’s intuitionistic tense logic by the first and third author. Now we characterize by topological methods the subdirectly irreducible IKt-algebras and particularly the simple IKt-algebras. Finally, we consider the particular cases of finite IKt-algebras and complete IKt-algebras.
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  2.  5
    A Topological Approach to Tense LMn×M-Algebras.Aldo V. Figallo, Inés Pascual & Gustavo Pelaitay - 2020 - Bulletin of the Section of Logic 49 (1).
    In 2015, tense n × m-valued Lukasiewicz–Moisil 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 tense LMn×m-algebras.
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  3.  13
    Principal and Boolean Congruences on $$\Varvec{IKt}$$ IKt -Algebras.Aldo V. Figallo, Inés Inés Pascual & Gustavo Pelaitay - 2018 - Studia Logica 106 (4):857-882.
    The IKt-algebras were introduced in the paper An algebraic axiomatization of the Ewald’s intuitionistic tense logic by the first and third author. In this paper, our main interest is to investigate the principal and Boolean congruences on IKt-algebras. In order to do this we take into account a topological duality for these algebras obtained in Figallo et al. :673–701, 2017). Furthermore, we characterize Boolean and principal IKt-congruences and we show that Boolean IKt-congruence are principal IKt-congruences. Also, bearing in mind the (...)
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  4.  8
    A Topological Duality for Tense $\Boldsymbol{LM_n}$-Algebras and Applications1.Aldo V. Figallo, Inés Pascual & Gustavo Pelaitay - 2018 - Logic Journal of the IGPL 26 (4):339-380.
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  5.  5
    Cn Algebras with Moisil Possibility Operators.Aldo V. Figallo, Gustavo Pelaitay & Jonathan Sarmiento - forthcoming - Logic Journal of the IGPL.
    In this paper, we continue the study of the Łukasiewicz residuation algebras of order $n$ with Moisil possibility operators initiated by Figallo. More precisely, among other things, a method to determine the number of elements of the $MC_n$-algebra with a finite set of free generators is described. Applying this method, we find again the results obtained by Iturrioz and Monteiro and by Figallo for the case of Tarski algebras and $I\varDelta _{3}$-algebras, respectively.
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  6.  8
    Free Modal Pseudocomplemented De Morgan Algebras.Aldo V. Figallo, Nora Oliva & Alicia Ziliani - 2018 - Bulletin of the Section of Logic 47 (2):89.
    Modal pseudocomplemented De Morgan 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, pp. 65–79, and they constitute a proper subvariety of the variety of pseudocomplemented De Morgan algebras satisfying xΛ* = *))* studied by H. Sankappanavar in 1987. In this paper the study of these algebras is continued. More precisely, new characterizations of mpM-congruences are shown. In particular, one of them is determined (...)
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  7.  9
    A New Algebraic Version of Monteiro’s Four-Valued Propositional Calculus.Aldo Victorio Figallo, Estela Bianco & Alicia Ziliani - 2014 - Open Journal of Philosophy 4 (3):319-331.
  8.  5
    Tense Polyadic N × M-Valued Łukasiewicz–Moisil Algebras.Aldo V. Figallo & Gustavo Pelaitay - 2015 - Bulletin of the Section of Logic 44 (3/4).