It is known that all subvarieties of MV-algebras are finitely axiomatizable. In the literature, one can find equational characterizations of certain subvarieties, such as MV -algebras. In this paper we write down equational bases for all MV-varieties n and prove a representation theorem for each sub
One Chain Generated Varieties of MV-Algebras
β Scribed by Antonio Di Nola; Ada Lettieri
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 198 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
MV-algebras are the Lindenbaum algebras for Εukasiewicz's infinite-valued logic, just as Boolean algebras correspond to the classical propositional calculus. The finitely generated subvarieties of the variety M M of all MV-algebras are generated by finite chains. We develop a natural duality, in the
## Abstract In this paper we study the category of hyper MVβalgebras and we prove that it has a terminal object and a coequalizer. We show that Jia's construction can be modified to provide a free hyper MVβalgebra by a set. We use this to show that in the category of hyper MVβalgebras the monomorph
Let X be a Ξ΄-variety over some Ξ΄-field . Denote by td Ξ΄ X/ , or simply td Ξ΄ X if the ground field is understood, the Ξ΄-transcendental degree of X over . Suppose td Ξ΄ X = d; Johnson [Comment. Math. Helv. 44 (1969), 207-216] showed that there is an increasing chain of Ξ΄-subvarieties of length Οd in X.
We characterise the closure in C (R, R) of the algebra generated by an arbitrary finite point-separating set of C functions. The description is local, involving Taylor series. More precisely, a function f # C belongs to the closure of the algebra generated by 1 , ..., r as soon as it has the ``right