Equational characterization of all varieties of MV-algebras

Authors
Di Nola, A Lettieri, A
Citation
A. Di Nola et A. Lettieri, Equational characterization of all varieties of MV-algebras, J ALGEBRA, 221(2), 1999, pp. 463-474
Citations number
9
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
221
Issue
2
Year of publication
1999
Pages
463 - 474
Database
ISI
SICI code
0021-8693(19991115)221:2<463:ECOAVO>2.0.ZU;2-9
Abstract
It is known that all subvarieties of MV-algebras are finitely axiomatizable . In the literature, one can find equational characterizations of certain s ubvarieties, such as MVn-algebras. In this paper we write down equational b ases for all MV-varieties and prove a representation theorem for each subva riety. (C) 1999 Academic Press.