(n,d)-phantom与(n,d)-Ext-phantom态射

doi:10.6040/j.issn.1671-9352.0.2022.094

《山东大学学报(理学版)》 ›› 2023, Vol. 58 ›› Issue (2): 79-87.doi: 10.6040/j.issn.1671-9352.0.2022.094

• • 上一篇

(n,d)-phantom与(n,d)-Ext-phantom态射

张春霞,唐强玲

重庆师范大学数学科学学院, 重庆 401331

发布日期:2023-02-12
作者简介:张春霞(1979— ), 女, 博士, 教授, 主要研究方向为同调代数理论. E-mail:cxzhang@cqnu.edu.cn
基金资助:
国家自然科学基金资助项目(11871125);重庆市自然科学基金资助项目(cstc2021jcyj-msxmX0048)

On (n,d)-phantom and (n,d)-Ext-phantom morphisms

ZHANG Chun-xia, TANG Qiang-ling

School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China

Published:2023-02-12

摘要/Abstract

摘要： 设n,d是非负整数且n≥1,引入了(n,d)-phantom态射与(n,d)-Ext-phantom态射的概念,研究了它们的一些性质。作为应用,得到了模的FPn-平坦维数与FPn-内射维数的一些新刻画。

关键词: n-凝聚环, (n,d)-Tor-满态射, (n,d)-phantom态射, (n,d)-Ext-单态射, (n,d)-Ext-phantom态射

Abstract: Let n,d be nonnegative integers and n≥1, we introduce the concepts of(n,d)-phantom and(n,d)-Ext-phantom morphisms, and give their some properties. As applications, we obtain some new characterizations of the FPn-flat and FPn-injective dimensions of modules.

Key words: n-coherent ring, (n,d)-Tor-epimorphism, (n,d)-phantom morphism, (n,d)-Ext-monomorphism, (n,d)-Ext-phantom morphism

中图分类号:

O153.3

张春霞,唐强玲. (n,d)-phantom与(n,d)-Ext-phantom态射[J]. 《山东大学学报(理学版)》, 2023, 58(2): 79-87.

ZHANG Chun-xia, TANG Qiang-ling. On (n,d)-phantom and (n,d)-Ext-phantom morphisms[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(2): 79-87.

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(n,d)-phantom与(n,d)-Ext-phantom态射

On (n,d)-phantom and (n,d)-Ext-phantom morphisms

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