Equational characterization of all varieties of MV-algebras

Equational characterization of all varieties of MV-algebras
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所有 MV 代数变体的方程表征

DOI:
10.1006/jabr.1999.7900
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发表时间:
1999
期刊:
影响因子:
0.9
通讯作者:
A. Lettieri
A. Lettieri
中科院分区:
数学3区
文献类型:
--
作者:
A. Nola;A. Lettieri

文献摘要

被引文献

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已知MV-代数的所有子簇都是有限公理可公理的。在文献中,人们可以找到某些子簇的方程刻画,例如MV n-代数。在这篇文章中,我们写下了所有MV-簇的方程式基,并证明了每个子簇的表示定理。
Abstract It is known that all subvarieties of MV -algebras are finitely axiomatizable. In the literature, one can find equational characterizations of certain subvarieties, such as MV n -algebras. In this paper we write down equational bases for all MV -varieties and prove a representation theorem for each subvariety.