A characterization of free generating sets in MV-algebras期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A characterization of free generating sets in MV-algebras

Authors:	Francesco Lacava

Affiliation:	(1) Department of Mathematics “Ulisse Dini”, University of Florence, Viale Morgagni 67/A, 50134 Florence, Italy

Abstract:	MV-algebras are a generalization of Boolean algebras. As is well known, a free generating set ${b_i mid i in X}$ for a Boolean algebra is characterized by the following simple algebraic condition: whenever A and B are finite disjoint subsets of X then $bigwedge_{b_iin A},b_i,wedge,,bigwedge_{b_{j}in B}neg b_jneq 0$ . Our aim in this note is to give a similar characterization of free generating sets in MV-algebras. Received January 30, 2005; accepted in final form March 13, 2007.

Keywords:	06D35 03B50
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