A Topological Approach to Tense LMn×m-Algebras

, &
Bulletin of the Section of Logic 49 (1) (2020)
  Copy   BIBTEX

Abstract

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.

Categories

Add categories

Keywords

Reprint years

DOI

10.18778/0138-0680.2020.02

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,610

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

An Algebraic Study of Tense Operators on Nelson Algebras.A. V. Figallo, G. Pelaitay & J. Sarmiento - 2020 - Studia Logica 109 (2):285-312.
Subdirectly Irreducible IKt-Algebras.Aldo V. Figallo, Inés Pascual & Gustavo Pelaitay - 2017 - Studia Logica 105 (4):673-701.
Principal and Boolean Congruences on $$\varvec{IKt}$$ IKt -Algebras.Aldo V. Figallo, Inés Inés Pascual & Gustavo Pelaitay - 2018 - Studia Logica 106 (4):857-882.
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.
Tense Polyadic N × M-Valued Łukasiewicz–Moisil Algebras.Aldo V. Figallo & Gustavo Pelaitay - 2015 - Bulletin of the Section of Logic 44 (3/4):155-181.
Cn algebras with Moisil possibility operators.Aldo V. Figallo, Gustavo Pelaitay & Jonathan Sarmiento - 2020 - Logic Journal of the IGPL 28 (6):1141-1154.
How to Produce S-Tense Operators on Lattice Effect Algebras.Ivan Chajda, Jiří Janda & Jan Paseka - 2014 - Foundations of Physics 44 (7):792-811.
On Generalized I-algebras And 4-valued Modal Algebras.Aldo Figallo & Paolo Landini - 1995 - Reports on Mathematical Logic:3-18.
Tense operators on De Morgan algebras.A. V. Figallo & G. Pelaitay - 2014 - Logic Journal of the IGPL 22 (2):255-267.
Pure Hilbert Algebras with Infimum.Aldo Figallo Jr - 2007 - Logic Journal of the IGPL 15 (5-6):527-533.
Varieties Of Tense Algebras.Tomasz Kowalski - 1998 - Reports on Mathematical Logic:53-95.
Remarks on Heyting algebras with tense operators.A. V. Figallo & G. Pelaitay - 2012 - Bulletin of the Section of Logic 41 (1/2):71-74.
Boolean Algebras With A Distinguished Automorphism.M. Abad, J. P. D.\'{\I.}az Varela & M. Zander - 2003 - Reports on Mathematical Logic:101-112.
Monadic Distributive Lattices.Aldo Figallo, Inés Pascual & Alicia Ziliani - 2007 - Logic Journal of the IGPL 15 (5-6):535-551.
Weak‐quasi‐Stone algebras.Sergio A. Celani & Leonardo M. Cabrer - 2009 - Mathematical Logic Quarterly 55 (3):288-298.

Analytics

Added to PP
2020-06-25

Downloads
17 (#862,403)

6 months
8 (#351,566)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references