格的标准元和分配元的主同余

J4 ›› 2010, Vol. 45 ›› Issue (11): 63-66.

格的标准元和分配元的主同余

叶林¹,曹发生²

1.青岛理工大学理学院, 山东青岛 266520; 2.毕节学院数学系, 贵州毕节 551700

收稿日期:2010-04-19 出版日期:2010-11-16 发布日期:2010-11-24
作者简介:叶林(1957-),男,硕士,副教授,主要研究方向为代数学与微分几何.Email:liny@qtech.edu.cn

Principal congruence on the standard and distributive elements of a lattice

YE Lin¹, CAO Fa-sheng²

1. Science School of Qingdao Technological University, Qingdao 266520, Shandong, China;
2. Mathematics Department of Bijie University, Bijie 551700, Guizhou, China

Received:2010-04-19 Online:2010-11-16 Published:2010-11-24

摘要/Abstract

摘要：

通过分析标准元的定义,构造出标准元具体的主同余公式,得出格的标准元的主同余的必要条件。进而再利用分配元的分配性,构造出具体的主同余公式,得出格的分配元的主同余的刻画。

关键词: 主同余;标准元;分配元

Abstract:

A necessary condition for principal congruence on the standard elements of lattice L is given by analyzing the definition of the standard element and constructing a principal congruence formula. A decision condition for principal congruence on the distributive elements of lattice L is also characterized by constructing a principal congruence formula.

Key words: principal congruence; standard element; distributive element

叶林1,曹发生2. 格的标准元和分配元的主同余[J]. J4, 2010, 45(11): 63-66.

YE Lin1, CAO Fa-sheng2. Principal congruence on the standard and distributive elements of a lattice[J]. J4, 2010, 45(11): 63-66.

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