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MV-algebras and QMV-algebras

2000
In this chapter, we study supplement algebras, MV-algebras and QMV-algebras. MV-algebras were introduced by C. Chang [Cha] as algebraic models of many-valued logics. The prototypical model of MV-algebras is based on the real interval [0, 1]. Nowadays, there is a huge literature devoted to MV-algebras.
Anatolij Dvurečenskij   +1 more
openaire   +1 more source

MV-Algebras: Generalities

2016
C.C. Chang introduced MV-algebras as algebraic models for \({\L }\)ukasiewicz logic to give its algebraic analysis [1] and proved completeness of \({\L }\)ukasiewicz logic with respect to the variety of all MV-algebras. We give the definition of MV-algebra given originally by C.C. Chang in [1].
Antonio Di Nola   +2 more
openaire   +1 more source

Free MV-algebras

2000
Free algebras are universal objects: every n-generated MV-algebra A is a homomorphic image of the free MV-algebra Free n over n generators; if an equation is satisfied by Free n then the equation is automatically satisfied by all MV-algebras. As a consequence of the completeness theorem, Free n is easily described as an MV-algebra of piecewise linear ...
Roberto L. O. Cignoli   +2 more
openaire   +1 more source

Variational algorithms for linear algebra

Science Bulletin, 2021
Xiaosi Xu, Jinzhao Sun, Suguru Endo
exaly  

Polyadic MV‐Algebras

Mathematical Logic Quarterly, 1980
openaire   +2 more sources

Semi MV -Algebras

2013
In this paper we introduced the notions of fuzzy point MV -algebra and fuzzypoint MV -ideals and discuss the relationship between them and the ideals of MV -algebra.Also we study the product of two fuzzy point MV -algebras.
Hasankhani, M. Musa, Saeid, A. Borumand
openaire   +1 more source

Computer algebra in gravity research

Living Reviews in Relativity, 2018
Malcolm A H Maccallum
exaly  

Spacetime algebra as a powerful tool for electromagnetism

Physics Reports, 2015
Justin Dressel   +2 more
exaly  

Algebra

Review of Educational Research, 2011
Mary Kay Stein
exaly  

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