LMn-algebra of fractions and maximal LMn-algebra of fractions
In: Discrete Mathematics, , Heft 2-3, S. 143-165
Online
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Zugriff:
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).
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LMn-algebra of fractions and maximal LMn-algebra of fractions
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Autor/in / Beteiligte Person: | Buşneag, Dumitru ; Chirteş, Florentina |
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Zeitschrift: | Discrete Mathematics, , Heft 2-3, S. 143-165 |
Veröffentlichung: | Elsevier B.V. |
Medientyp: | unknown |
ISSN: | 0012-365X (print) |
DOI: | 10.1016/j.disc.2005.02.012 |
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