关于DG-Ding内射复形的一个注记

doi:10.6040/j.issn.1671-9352.0.2020.685

《山东大学学报(理学版)》 ›› 2021, Vol. 56 ›› Issue (8): 25-31.doi: 10.6040/j.issn.1671-9352.0.2020.685

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关于DG-Ding内射复形的一个注记

刘一甫,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:2021-08-09
作者简介:刘一甫(1996— ), 男, 硕士研究生, 研究方向为同调代数. E-mail:1126748944@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:
国家自然科学基金资助项目(12061061);西北民族大学创新团队项目(1110130131);西北民族大学一流学科项目

A note on DG-Ding injective complexes

LIU Yi-fu, LU Bo^*

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

Published:2021-08-09

摘要/Abstract

摘要： 设G是一个复形。引入并研究了DG-Ding内射复形,证明了左凝聚环上复形G是DG-Ding内射的当且仅当G是正合的,对于任意整数n,Z_n(G)都是Ding内射模且对任意的DG-FP-内射复形J,复形同态f:J→G是零伦的。

关键词: DG-Ding内射复形, Ding内射模, DG-FP-内射复形

Abstract: Let G be a complex. DG-Ding injective complex is defined and studied. It is proved that G is a DG-Ding injective complex if and only if G is exact with that each Z_n(G)is a Ding injective module for any integer n and any homomorphism f:J→G is null homotopic for any DG-FP-injective complex J when R is a left coherent ring.

Key words: DG-Ding injective complex, Ding injective module, DG-FP-injective complex

中图分类号:

O153.3

刘一甫,卢博. 关于DG-Ding内射复形的一个注记[J]. 《山东大学学报(理学版)》, 2021, 56(8): 25-31.

LIU Yi-fu, LU Bo. A note on DG-Ding injective complexes[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(8): 25-31.

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关于DG-Ding内射复形的一个注记

A note on DG-Ding injective complexes

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