Gorenstein投射N-复形

doi:10.6040/j.issn.1671-9352.0.2014.331

山东大学学报（理学版） ›› 2015, Vol. 50 ›› Issue (06): 53-58.doi: 10.6040/j.issn.1671-9352.0.2014.331

Gorenstein投射N-复形

朱荣民

西北师范大学数学与统计学院, 甘肃兰州 730070

收稿日期:2014-07-15 修回日期:2014-11-11 出版日期:2015-06-20 发布日期:2015-07-31
作者简介:朱荣民(1991-),男,硕士研究生,研究方向为同调代数.E-mail:zhurm1991@163.com
基金资助:
国家自然科学基金资助项目(11261050)

Gorenstein projective N-complexes

ZHU Rong-min

Department of Mathematics, Northwest Normal University, Lanzhou 730070, Gansu, China

Received:2014-07-15 Revised:2014-11-11 Online:2015-06-20 Published:2015-07-31

摘要/Abstract

摘要： 研究了N-复形的Gorenstein投射性,并给出了N-复形的Gorenstein投射维数的刻画。证明了N-复形C是Gorenstein投射的当且仅当每个层次C_n是Gorenstein投射模。

关键词: N-复形, 预包络, Gorenstein投射N-复形

Abstract: The properties of Gorenstein projective of N-complexes are investigated, and the Gorenstein projective dimensions of N-complex are characterized. It is shown that for an arbitrary associative ring R, any N-complex C of R-module is Gorenstein projective if and only if each C_n is Gorenstein projective.

Key words: N-complex, preenvelope, Gorenstein projective N-complex

中图分类号:

O153.3

朱荣民. Gorenstein投射N-复形[J]. 山东大学学报（理学版）, 2015, 50(06): 53-58.

ZHU Rong-min. Gorenstein projective N-complexes[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(06): 53-58.

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Gorenstein projective N-complexes

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