Q-并代数范畴中的投射对象

doi:10.6040/j.issn.1671-9352.0.2017.313

山东大学学报（理学版） ›› 2018, Vol. 53 ›› Issue (2): 73-82.doi: 10.6040/j.issn.1671-9352.0.2017.313

Q-并代数范畴中的投射对象

王海伟,赵彬^*

陕西师范大学数学与信息科学学院, 陕西西安 710119

收稿日期:2017-06-21 出版日期:2018-02-20 发布日期:2018-01-31
通讯作者: 赵彬(1965— ),男,博士,教授,研究方向为格上拓扑与非经典数理逻辑.E-mail: zhaobin@snnu.edu.cn E-mail:wanghw@snnu.edu.cn
作者简介:王海伟(1992— ),男,硕士研究生,研究方向为格上拓扑与非经典数理逻辑.E-mail: wanghw@snnu.edu.cn
基金资助:
国家自然科学基金重点项目(11531009);中央高校基本科研业务费专项资金项目(GK201501001)

The projective objects in the category of Q-sup-algebras

WANG Hai-wei, ZHAO Bin^*

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

Received:2017-06-21 Online:2018-02-20 Published:2018-01-31

摘要/Abstract

摘要： 引入了Q-并代数范畴中的K-flat投射对象的概念,并且给出了Q-并代数范畴中K-flat投射对象的等价刻画,证明了Q是Q-并代数范畴中的K-flat投射对象当且仅当Q有余代数结构。

关键词: Q-并代数, 余代数, K-flat投射对象

Abstract: The concept of K-flat projective objects in the category of Q-sup-algebras is introduced, and we give some equivalent characterizations on the object. We prove that Q is a K-flat projective Q-sup-algebra if and only if Q has a coalgebra structure.

Key words: coalgebra, Q-sup-algebra, K-flat projective object

中图分类号:

O153.1

王海伟,赵彬. Q-并代数范畴中的投射对象[J]. 山东大学学报（理学版）, 2018, 53(2): 73-82.

WANG Hai-wei, ZHAO Bin. The projective objects in the category of Q-sup-algebras[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(2): 73-82.

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Q-并代数范畴中的投射对象

The projective objects in the category of Q-sup-algebras

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