相对于半对偶模的f-内射模

doi:10.6040/j.issn.1671-9352.0.2019.648

《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (8): 59-64.doi: 10.6040/j.issn.1671-9352.0.2019.648

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相对于半对偶模的f-内射模

兰开阳,卢博^*

西北民族大学数学与计算机科学学院, 甘肃兰州 730030

发布日期:2020-07-14
作者简介:兰开阳(1995— ), 男, 硕士研究生, 研究方向为同调代数. E-mail:745365423@qq.com*通信作者简介:卢博(1985— ), 男, 博士, 副教授, 研究方向为同调代数. E-mail:lubo55@126.com
基金资助:
中央高校基本科研业务经费(31920190054);西北民族大学一流本科建设经费以及甘肃省重点学科经费

f-injective modules with respect to semidualizing modules

LAN Kai-yang, LU Bo^*

College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, Gansu, China

Published:2020-07-14

摘要/Abstract

摘要： 设R是一个交换环,C是半对偶R-模。定义并研究了相对于半对偶R-模C的f-内射模,证明了一个R-模同态F→M是M的一个内射(f-内射)预覆盖当且仅当Hom_R(C,F)→Hom_R(C,M)是C-内射(C-f-内射)预覆盖。

关键词: f-内射R-模, 半对偶R-模, 预覆盖

Abstract: Let R be a commutative ring and C a semidualizing R-module. The f-injective modules with respect to a semidualizing R-module C is defined and studied, and it is proved that a homomorphism F→M of R-modules is an injective(f-injective)precover of M if and only if HomR(C,F)→HomR(C,M) is a C-injective(C-f-injective)precover.

Key words: f-injective R-module, semidualizing R-module, precover

中图分类号:

O154.2

兰开阳,卢博. 相对于半对偶模的f-内射模[J]. 《山东大学学报(理学版)》, 2020, 55(8): 59-64.

LAN Kai-yang, LU Bo. f-injective modules with respect to semidualizing modules[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(8): 59-64.

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相对于半对偶模的f-内射模

f-injective modules with respect to semidualizing modules

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