2017/05/06 by Yuri A. Poveda, Poveda, Yuri A., Alejandro Estrada +1
Business, Management and Accounting · #Diverse Legal and Medical Studies #FOS: Mathematics #Logic (math.LO) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1705.04731
openalex publication_date 2017/05/06 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
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.