LMn-algebra of fractions and maximal LMn-algebra of fractions
In: Discrete mathematics, Jg. 296 (2005), Heft 2-3, S. 143-165
Online
academicJournal
- print, 21 ref
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-valuedLukasiewicz-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).
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LMn-algebra of fractions and maximal LMn-algebra of fractions
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Autor/in / Beteiligte Person: | BUSNEAG, Dumitru ; CHIRTES, Florentina |
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Zeitschrift: | Discrete mathematics, Jg. 296 (2005), Heft 2-3, S. 143-165 |
Veröffentlichung: | Amsterdam: Elsevier, 2005 |
Medientyp: | academicJournal |
Umfang: | print, 21 ref |
ISSN: | 0012-365X (print) |
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