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One Chain Generated Varieties of MV-Algebras

✍ Scribed by Antonio Di Nola; Ada Lettieri


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
198 KB
Volume
225
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Equational Characterization of All Varie
✍ Antonio Di Nola; Ada Lettieri πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 100 KB

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

Natural Dualities for Varieties of MV-Al
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MV-algebras are the Lindenbaum algebras for Łukasiewicz'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

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✍ Shokoofeh Ghorbani; Esfandiar Eslami; Abbas Hasankhani πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 123 KB

## Abstract In this paper we study the category of hyper MV‐algebras 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 MV‐algebra by a set. We use this to show that in the category of hyper MV‐algebras the monomorph

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✍ Wai Yan Pong πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 108 KB

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 Ο‰d in X.

Finitely-Generated Algebras of Smooth Fu
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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