Convergence with a fixed regulator in lattice ordered groups and applications to MV-algebras

Cernak S

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Convergence with a fixed regulator in lattice ordered groups and applications to MV-algebras

机译：与固定调节器在晶格有序组中收敛并应用于MV代数

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A convergence with a fixed regulator v in lattice ordered groups is applied to MV-algebras. For each Archimedean MV-algebra A there exists a v-Cauchy completion A* and it is uniquely determined up to isomorphisms over A. The relation between the Dedekind completion A(boolean AND) of A and A* is established. There is solved a question of the existence of the greatest v-Cauchy complete ideal of A.

机译：用固定的调节器v以晶格有序的组收敛于MV代数。对于每个阿基米德MV代数A，存在一个v-柯西完成A *，并且根据A上的同构唯一确定它。A的Dedekind完成A（布尔AND）与A *之间的关系被建立。解决了A的最大v-Cauchy完全理想的存在的问题。

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《Soft computing: A fusion of foundations, methodologies and applications》 |2008年第5期|共10页
作者
Cernak S;
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原文格式 PDF
正文语种 eng
中图分类计算机软件;
关键词
MV-algebra; lattice ordered group; regulator of a convergence; Dedekind completion; Cauchy completion;

机译：MV-代数;晶格有序组;收敛调节器;Dedekind完成;Cauchy完成;

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Convergence with a fixed regulator in lattice ordered groups and applications to MV-algebras

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