Maximal Subalgebras of MVn-algebras. A Proof of a Conjecture of A. Monteiro

Studia Logica 84 (3):393-405 (2006)
  Copy   BIBTEX

Abstract

For each integer n ≥ 2, MVn denotes the variety of MV-algebras generated by the MV-chain with n elements. Algebras in MVn are represented as continuous functions from a Boolean space into a n-element chain equipped with the discrete topology. Using these representations, maximal subalgebras of algebras in MVn are characterized, and it is shown that proper subalgebras are intersection of maximal subalgebras. When A ∈ MV3, the mentioned characterization of maximal subalgebras of A can be given in terms of prime filters of the underlying lattice of A, in the form that was conjectured by A. Monteiro.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 89,685

External links

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

Through your library

Similar books and articles

Bell’s Correlations and Spin Systems.Martin Bohata & Jan Hamhalter - 2010 - Foundations of Physics 40 (8):1065-1075.
Special subalgebras of Boolean algebras.J. Donald Monk - 2010 - Mathematical Logic Quarterly 56 (2):148-158.
A Syntactic Proof Of A Conjecture Of Andrzej Wronski.Tomasz Kowalski - 1994 - Reports on Mathematical Logic:81-86.
Monteiro, Hume e ... Adão.Luiz Henrique de A. Dutra - 1997 - Principia: An International Journal of Epistemology 1 (2):297-304.

Analytics

Added to PP
2016-02-04

Downloads
18 (#703,661)

6 months
3 (#434,103)

Historical graph of downloads
How can I increase my downloads?