- 作者：Dumitru Buş ; neag and Florentina Chirteş
- 关键词：none ; color ; black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V00-4GG2JC2-1&_mathId=mml6&_user=10&_cdi=5632&_rdoc=4&_handle=V-WA-A-W-AC-MsSAYZA-UUW-U-AABZBZYZVZ-AABBEVEVVZ-CAYDECEAY-AC-U&_acct=C00005022
- 刊名：Discrete Mathematics
- 出版年：2005
- 期刊代码：47_0012365x
- 类别：cp
- 出版时间：2005
- 卷：296
- 期：2-3
- 页码：143-165
- 文件大小：293 K
摘要
The aim of this paper is to define the notions of n-valued Lukasiewicz-Moisil algebra of fractions and maximal algebra of fractions taking as a guide-line the elegant construction of a complete ring of fractions by partial morphisms introduced by [Lambek, 1996. Lectures on Rings and Modules, p. 36]. For some informal explanations of the notion of fraction see [Lambek, 1996. Lectures on Rings and Modules, p. 36]
In the last part of this paper we prove the existence of a maximal n-valued Lukasiewicz–Moisil algebra of fractions for an n-valued Lukasiewicz–Moisil algebra (Theorem 3.2) and we give an explicit description of this n-valued Lukasiewicz–Moisil algebra for some classes of n-valued Lukasiewicz–Moisil algebras (finite, chains, Boolean algebras).