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MVW-rigs
- Publication Year :
- 2017
-
Abstract
- In this paper, a new algebraic structure is defined, which is a new MV-algebra that has a product operation, we will call it MVW-rig (Multivalued-weak rig). This structure is defined with universal algebra axioms, it is presented with a good amount of natural examples in the MV-algebra environment and the first results having to do with ideal, quotients, homomorphisms and subdirect product are established. In particular, its prime spectrum is studied, that with the co-Zariski topology it is compact. Consequently, a good number of results that are analogous to the theory of commutative rings and rigs are presented with which this theory keeps a close relationship to.<br />Comment: in English
- Subjects :
- Mathematics - Rings and Algebras
Mathematics - Logic
Subjects
Details
- Language :
- English
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1705.04731
- Document Type :
- Working Paper