COMPOSITION ON MV-ALGEBRAS

被引：2
|
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
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2006年 / 5卷 / 04期
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.
引用
收藏
页码：417 / 439
页数：23
相关论文
共 50 条
  • [21] The Writing of the MV-algebras
    C. C. Chang
    Studia Logica, 1998, 61 (1) : 3 - 6
  • [22] Generalized MV-algebras
    Galatos, N
    Tsinakis, C
    JOURNAL OF ALGEBRA, 2005, 283 (01) : 254 - 291
  • [23] Extensions of MV-algebras
    Pulmannová, S
    SOFT COMPUTING, 2003, 7 (07) : 476 - 481
  • [24] On tense MV-algebras
    Botur, Michal
    Paseka, Jan
    FUZZY SETS AND SYSTEMS, 2015, 259 : 111 - 125
  • [25] Measures on MV-algebras
    Fric, R
    SOFT COMPUTING, 2002, 7 (02) : 130 - 137
  • [26] Implication in MV-algebras
    I. Chajda
    R. Halaš
    J. Kühr
    algebra universalis, 2005, 52 : 377 - 382
  • [27] Measures on MV-algebras
    R. Frič
    Soft Computing, 2002, 7 (2) : 130 - 137
  • [28] Extensions of MV-algebras
    S. Pulmannová
    Soft Computing, 2003, 7 : 476 - 481
  • [29] (⊙,∨)-Derivations on MV-algebras
    Zhao, Xueting
    Gan, Aiping
    Yang, Yichuan
    SOFT COMPUTING, 2024, 28 (03) : 1833 - 1849
  • [30] Topological MV-algebras
    Hoo, CS
    TOPOLOGY AND ITS APPLICATIONS, 1997, 81 (02) : 103 - 121
12345