L-序代数的内射壳

吉林大学学报(理学版) ›› 2019, Vol. 57 ›› Issue (04): 809-816.

L-序代数的内射壳

田甜, 赵彬

陕西师范大学数学与信息科学学院, 西安 710119

收稿日期:2018-07-24 出版日期:2019-07-26 发布日期:2019-07-11
通讯作者: 赵彬 E-mail:zhaobin@snnu.edu.cn

Injective Hulls of L-Ordered Algebras

TIAN Tian, ZHAO Bin

School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China

Received:2018-07-24 Online:2019-07-26 Published:2019-07-11
Contact: ZHAO Bin E-mail:zhaobin@snnu.edu.cn

摘要/Abstract

摘要： 讨论L-序代数范畴的内射性, 证明L-序代数范畴中的M^≤-内射对象恰是L-并代数, 并给出L-序代数范畴中一类特殊L-序代数的M^≤-内射壳的具体形式.

关键词: L-序代数, L-并代数, 内射对象, 内射壳

Abstract: We discussed the injectivity of the category of L-ordered algebras, and proved that M^≤-injective objects in the category of L-ordered algebras were exactly L-upalgebras, and gave the concrete form of M^≤-injective hulls of a special class of L-ordered algebras in the category of L-ordered algebras.

Key words: L-ordered algebra, L-sup-algebra, injective object, injective hull

中图分类号:

O153.1

田甜, 赵彬. L-序代数的内射壳[J]. 吉林大学学报(理学版), 2019, 57(04): 809-816.

TIAN Tian, ZHAO Bin. Injective Hulls of L-Ordered Algebras[J]. Journal of Jilin University Science Edition, 2019, 57(04): 809-816.