منابع مشابه
Convergence with a Fixed Regulator in Perfect Mv-algebras
MV-algebras were introduced by Chang as an algebraic counterpart of the Lukasiewicz infinite-valued logic. D. Mundici proved that the category of MV-algebras is equivalent to the category of abelian l-groups with strong unit. A. Di Nola and A. Lettieri established a categorical equivalence between the category of perfect MV-algebras and the category of abelian l-groups. In this paper we investi...
متن کاملGödel spaces and perfect MV-algebras
Article history: Received 30 October 2014 Received in revised form 24 March 2015 Accepted 11 May 2015 Available online 15 May 2015
متن کاملThe Logic of Perfect MV-algebras
In this paper we summarize results on perfect MV-algebras and we show that the class of first order à Lukasiewicz formulas valid in all interpretations over perfect MV-chains is axiomatizable.
متن کاملMV* - Algebras
In this paper we make an algebraic study of the variety of M V * –algebras introduced by C. C.Chang as an algebraic counterpart for a logic with positive and negative truth values. We build the algebraic theory of M V * –algebras within its own limits using a concept of ideal and of prime ideal that are very naturally related to the corresponding concepts in –groups. The main results are a subd...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1998
ISSN: 0022-247X
DOI: 10.1006/jmaa.1998.6119