Abstract
In this paper we examine and classify the class of localMV-algebras, pointing out some topological properties of them. Particulary we study theMV-algebras generated by radical: some of these algebras are non-linear generalizations of theMV-algebra C defined by C. C. Chang [4].
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Belluce L.P.,Semisimple algebras of inifnite valued logic and bold fuzzy set teory, Can. J. Math.38 (1986), 1356–1379.
Belluce L.P.,Semisimple and complete MV-algebras, algebra Univ.29 (1992), 1–9.
Belluce L.P., Di Nola A., Lettieri A.,On some lattices quotients of MV-algebras, Ricerche di Matematica39, (1990), 41–59.
Chang C.C.,Algebraic analysis of many valued logics, Trans. Amer. Math. Soc.88 (1958), 467–490.
Chang C.C.,A new proof of the completness of the lukasiewicz axioms, trans. Amer. Math. Soc.93 (1959), 74–80.
Cignoli R.,Complete and atomic algebras of the infinite-value Lukasiewicz logic, unpublished paper.
Di Nola A.,Representation and reticulation by quotients of MV-algebras, Ricerche di Matematica40 (1991), 291–297.
Hoo C.S.,MV-algebras, ideals and semisimplicity, Math. Japon34 (1989), 563–583.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Belluce, L.P., Di Nola, A. & Lettieri, A. LocalMV-algebras. Rend. Circ. Mat. Palermo 42, 347–361 (1993). https://doi.org/10.1007/BF02844626
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02844626