FUNCTIONAL MONADIC n-VALUED LUKASIEWICZ ALGEBRAS

被引：0
|
作者：
Figallo, A. V. [1 ,2 ]
Sanza, C. [1 ]
Ziliani, A. [1 ,2 ]
机构：
[1] Univ Nacl Sur, Dept Math, RA-8000 Bahia Blanca, Buenos Aires, Argentina
[2] Univ Nacl San Juan, Inst Ciencias Basicas, RA-5400 San Juan, Argentina
来源：
MATHEMATICA BOHEMICA | 2005年 / 130卷 / 04期
关键词：
monadic n-valued Lukasiewicz algebra; monadic Boolean algebra;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Some functional representation theorems for monadic n-valued Lukasiewicz algebras (qLk(n)-algebras, for short) are given. Bearing in mind some of the results established by G. Georgescu and C. Vraciu (Algebre Boole monadice si algebre Lukasiewicz monadice, Studii Cercet. Mat. 23 ( 1971),1027-1048) and P. Halmos (Algebraic Logic, Chelsea, New York, 1962), two functional representation theorems for qLk(n)-algebras are obtained. Besides, rich qLk(n)-algebras are introduced and characterized. In addition, a third theorem for these algebras is presented and the relationship between the three theorems is shown.
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页码：337 / 348
页数：12
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