强代数格的关系表示

数学季刊 ›› 2012, Vol. 27 ›› Issue (4): 509-515.

强代数格的关系表示

1. College of Mathematics and Information Science, Nanchang Hangkong University 2. Department of Science, Nanchang Institute of Technology

收稿日期:2011-02-24 出版日期:2012-12-30 发布日期:2023-03-15
作者简介:XU Guang-hong(1976—), male, native of Wuhan, Hubei, a lecturer of Nanchang Hangkong University, M.S.D., engages in topology on lattices and domain theory; RAO San-ping(1980-), male, native of Jiujiang, Jiangxi, M.S.D., engages in domain theory.
基金资助:
Supported by the National Natural Science Foundation of China(10861007)

Relational Representations of Strongly Algebraic Lattices

1. College of Mathematics and Information Science, Nanchang Hangkong University 2. Department of Science, Nanchang Institute of Technology

Received:2011-02-24 Online:2012-12-30 Published:2023-03-15
About author: XU Guang-hong(1976—), male, native of Wuhan, Hubei, a lecturer of Nanchang Hangkong University, M.S.D., engages in topology on lattices and domain theory; RAO San-ping(1980-), male, native of Jiujiang, Jiangxi, M.S.D., engages in domain theory.
Supported by:
Supported by the National Natural Science Foundation of China(10861007)

摘要/Abstract

摘要： In this paper, we introduce and investigate the strongly regular relation. Then we give the relational representations and an intrinsic characterization of strongly algebraic lattices via mapping relation and strongly regular relation.

关键词: binary relation, strongly regular relation, strongly algebraic lattice, mapping relation

Abstract: In this paper, we introduce and investigate the strongly regular relation. Then we give the relational representations and an intrinsic characterization of strongly algebraic lattices via mapping relation and strongly regular relation.

Key words: binary relation, strongly regular relation, strongly algebraic lattice, mapping relation

中图分类号:

O135.1

许广红, 饶三平. 强代数格的关系表示[J]. 数学季刊, 2012, 27(4): 509-515.

XU Guang-hong, RAO San-ping. Relational Representations of Strongly Algebraic Lattices[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(4): 509-515.