偏序半群的商序同态研究
Study on Quotient Ordered Homomorphisms of Partially Ordered Semigroups
邵海琴 1梁茂林 1董芳芳 1李长涛2
作者信息
- 1. 天水师范学院 数学与统计学院,甘肃 天水 741001
- 2. 咸阳师范学院 数学与统计学院,陕西 咸阳 712000
- 折叠
摘要
通过偏序半群的商半拟序、商半拟链和正则同余,研究了偏序半群的商序同态,给出了偏序半群的商序同态基本定理.同时,讨论了偏序半群的商半拟序与商序同态之间的关系,给出了由偏序半群S到T的商序同态φ构造S的商半拟序ρφ的方法以及S的一个商半拟序ρ⊆ρφ的充分必要条件,并得到了一些重要结论.
Abstract
By quotient semi-pseudo order,quotient semi-pseudo chain and regular congruence of partially ordered semigroups,the quotient ordered homomorphisms of partially ordered semigroups are studied,and the fundamental theorems on quotient ordered homomorphisms are given.At the same time,relationships between quotient semi-pseudoorder and quotient ordered homomorphisms of par-tially ordered semigroups are discussed,the construction method on quotient semi-pseudo order of S by quotient ordered homomorphisms from partially ordered semigroups S to T and the sufficient and the necessary conditions on a quotient semi-pseudo order ρ⊆ρφ of S are given,and some important conclu-sions are obtained.
关键词
偏序半群/商半拟序/商半拟链/正则同余/商序同态Key words
partially ordered semigroups/quotient semi-pseudoorder/quotient semi-pseudochain/regular congruence/quotient ordered homomorphisms引用本文复制引用
基金项目
国家自然科学基金项目(12361081)
甘肃省教育厅创新基金项目(2022B-158)
陕西省自然科学基础研究计划项目(2023JCYB082)
出版年
2024
NETL
NSTL
万方数据