Semisimplicity, EDPC and Discriminator Varieties of Bounded Weak-commutative Residuated Lattices with an S4-like Modal Operator

Studia Logica 100 (6):1137-1148 (2012)
  Copy   BIBTEX

Abstract

In this paper, we show that all semisimple varieties of bounded weak-commutative residuated lattices with an S4-like modal operator are discriminator varieties. We also give a characterization of discriminator and EDPC varieties of bounded weak-commutative residuated lattices with an S4-like modal operator follows

Categories

Keywords

Reprint years

DOI

10.1007/s11225-012-9460-5

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,867

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

Semisimplicity, EDPC and discriminator varieties of residuated lattices.Tomasz Kowalski - 2004 - Studia Logica 77 (2):255 - 265.
Semisimples in Varieties of Commutative Integral Bounded Residuated Lattices.Antoni Torrens - 2016 - Studia Logica 104 (5):849-867.
Commutative integral bounded residuated lattices with an added involution.Roberto Cignoli & Francesc Esteva - 2010 - Annals of Pure and Applied Logic 161 (2):150-160.
Minimal Varieties of Representable Commutative Residuated Lattices.Rostislav Horčík - 2012 - Studia Logica 100 (6):1063-1078.
On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an Implication.Ramon Jansana & Hernán Javier San Martín - 2019 - Studia Logica 107 (2):351-374.
On varieties of biresiduation algebras.C. J. van Alten - 2006 - Studia Logica 83 (1-3):425-445.
Bounded BCK‐algebras and their generated variety.Joan Gispert & Antoni Torrens - 2007 - Mathematical Logic Quarterly 53 (2):206-213.
On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an Implication.Hernán Javier San Martín & Ramon Jansana - 2019 - Studia Logica 107 (2):351-374.
Equational bases for joins of residuated-lattice varieties.Nikolaos Galatos - 2004 - Studia Logica 76 (2):227 - 240.
On two fragments with negation and without implication of the logic of residuated lattices.Félix Bou, Àngel García-Cerdaña & Ventura Verdú - 2006 - Archive for Mathematical Logic 45 (5):615-647.

Analytics

Added to PP
2012-10-20

Downloads
47 (#329,162)

6 months
11 (#340,569)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Add more citations

References found in this work

The variety of modal FLew-algebras is generated by its finite simple members.Hiroki Takamura - 1998 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic. CSLI Publications. pp. 469-479.

Add more references