n-强Gorenstein AC投射模

李倩倩,杨晓燕

doi:10.13718/j.cnki.xsxb.2018.12.008

西南师范大学学报(自然科学版)

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n-强Gorenstein AC投射模

李倩倩,杨晓燕. n-强Gorenstein AC投射模[J]. 西南师范大学学报(自然科学版), 2018, 43(12): 36-40. doi: 10.13718/j.cnki.xsxb.2018.12.008

引用本文:

李倩倩,杨晓燕. n-强Gorenstein AC投射模[J]. 西南师范大学学报(自然科学版), 2018, 43(12): 36-40. doi: 10.13718/j.cnki.xsxb.2018.12.008

LI Qian-qian, YANG Xiao-yan. n-Strongly Gorenstein AC Projective Modules[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(12): 36-40. doi: 10.13718/j.cnki.xsxb.2018.12.008

Citation:

LI Qian-qian, YANG Xiao-yan. n-Strongly Gorenstein AC Projective Modules[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(12): 36-40. doi: 10.13718/j.cnki.xsxb.2018.12.008

n-强Gorenstein AC投射模

李倩倩,杨晓燕

西北师范大学数学与统计学院, 兰州 730070

n-Strongly Gorenstein AC Projective Modules

LI Qian-qian, YANG Xiao-yan

School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

摘要: 首先引入n-强Gorenstein AC投射模的概念，研究了其同调性质，给出了由n-强Gorenstein AC投射模构造1-强Gorenstein AC投射模的方法.之后讨论了当m≠n时，m-强Gorenstein AC投射模与n-强Gorenstein AC投射模的关系.最后证明了任意自正交的n-强Gorenstein AC投射模是投射模.
- Level模 /
- GorensteinAC投射模 /
- n-强GorensteinAC投射模
Abstract: In this paper, firstly, we have introduced the notion of n-strongly Gorenstein AC projective modules, investigated homological porproties of these modules, and given the method of constructing 1-strongly Gorenstein AC projective modules from n-strongly Gorenstein AC projective modules. Secondly, we have discussed the relation between m-strongly Gorenstein AC projective modules and n-strongly Gorenstein AC projective modules whenever m not equal n. At last, we have proved that arbitrary self-orthognal n-strongly AC Gorenstein projective module is a projective module.
- Level module /
- Gorenstein AC projective module /
- n-strongly Gorenstein AC projective module .

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n-强Gorenstein AC投射模

李倩倩,杨晓燕

西北师范大学数学与统计学院, 兰州 730070

收稿日期: 2018-07-04

关键词:

摘要: 首先引入n-强Gorenstein AC投射模的概念，研究了其同调性质，给出了由n-强Gorenstein AC投射模构造1-强Gorenstein AC投射模的方法.之后讨论了当m≠n时，m-强Gorenstein AC投射模与n-强Gorenstein AC投射模的关系.最后证明了任意自正交的n-强Gorenstein AC投射模是投射模.