COMPOSITION ON MV-ALGEBRAS

被引:1
|
作者
Di Nola, A. [1 ]
Flondor, P. [2 ]
Gerla, B. [1 ]
机构
[1] Univ Salerno, Dept Math & Comp Sci, I-84084 Fisciano, SA, Italy
[2] Politechn Univ, Dept Comp Sci, Bucharest, Romania
关键词
MV-algebras; composition of functions; MV-modules;
D O I
10.1142/S0219498806001818
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we introduce an extension of MV-algebras obtained by adding a binary operation and a constant, with the aim of modelling composition of functions. The variety of Composition MV-algebra (CMV-algebra, for short) is defined and some results regarding ideals and congruences are stated. Further, we define modules over CMValgebras showing that to any substitution corresponds an endomorphism of modules.
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页码:417 / 439
页数:23
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