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MVW-rigs and product MV-algebras.
- Source :
- Journal of Applied Non-Classical Logics; Mar2019, Vol. 29 Issue 1, p78-96, 19p
- Publication Year :
- 2019
-
Abstract
- We introduce the variety of Many-Valued-Weak rigs (MVW-rigs). We provide an axiomatisation and establish, in this context, basic properties about ideals, homomorphisms, quotients and radicals. This new class contains the class of product MV-algebras presented by Di Nola and Dvurečenskij in 2001 and by Montagna in 2005. The main result is the compactness of the prime spectrum of this new class, endowed with the co-Zariski topology as defined by Dubuc and Poveda in 2010. [ABSTRACT FROM AUTHOR]
- Subjects :
- MATHEMATICAL logic
HOMOMORPHISMS
ALGEBRA
ZARISKI surfaces
BOOLEAN algebra
Subjects
Details
- Language :
- English
- ISSN :
- 11663081
- Volume :
- 29
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Applied Non-Classical Logics
- Publication Type :
- Academic Journal
- Accession number :
- 135800528
- Full Text :
- https://doi.org/10.1080/11663081.2018.1534795