Abstract
We introduce the class of Symmetric MV-algebras. Such algebras have a suitable behavior with respect to a family of MV-polynomials. It turns out that the class of Symmetric MV-algebras can be characterized as the class of MV-algebras having homomorphic image in the variety generated by a single MV-chain with pā+ā1 elements, where pā=ā1 or p is a prime number. Also, using symmetric MV-algebras, we provide a new characterization of the above mentioned varieties.
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Belluce, L.P., Di Nola, A., Lettieri, A. (2007). Symmetric MV-Algebras. In: Aguzzoli, S., Ciabattoni, A., Gerla, B., Manara, C., Marra, V. (eds) Algebraic and Proof-theoretic Aspects of Non-classical Logics. Lecture Notes in Computer Science(), vol 4460. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75939-3_3
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DOI: https://doi.org/10.1007/978-3-540-75939-3_3
Publisher Name: Springer, Berlin, Heidelberg
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