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arXiv · 1705.04731

MVW-rigs

Yuri A. Poveda·Alejandro Estrada
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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.

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Yuri A. Poveda, Alejandro Estrada. 2017-05-06. MVW-rigs. https://arxiv.org/abs/1705.04731

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