n-强Gorenstein分次投射模

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英文篇名：n-strongly Gorenstein graded projective modules 作者：赵玉鹏 ; 赵仁育 英文作者：ZHAO Yu-peng;ZHAO Ren-yu;College of Mathematics and Statistics, Northwest Normal University; 关键词：n-强Gorenstein分次投射模 ; 强Gorenstein分次投射模 ; Gorenstein分次投射模 英文关键词：n-strongly Gorenstein gr-projective module;;strongly Gorenstein gr-projective module;;Gorenstein gr-projective module 中文刊名：SDDX 英文刊名：Journal of Shandong University(Natural Science) 机构：西北师范大学数学与统计学院; 出版日期：2018-11-14 16:58 出版单位：山东大学学报(理学版) 年：2019 期：v.54 基金：国家自然科学基金资助项目(11861055;11761060) 语种：中文; 页：SDDX201904008 页数：6 CN：04 ISSN：37-1389/N 分类号：58-63

摘要

引入了n-强Gorenstein分次投射模的概念,讨论了n-强Gorenstein分次投射模的一些性质,得到了n-强Gorenstein分次投射模与强Gorenstein分次投射模,Gorenstein分次投射模之间的关系,给出了n-强Gorenstein分次投射模的一些等价刻画。
        The notion of n-strongly Gorenstein gr-projective modules is introduced. Some properties of the n-strongly Gorenstein gr-projective modules are studied, The relationship of n-strongly Gorenstein gr-projective modules, strongly Gorenstein gr-projective modules and Gorenstein gr-projective modules are obtained, and some equivalent characterizations of n-strongly Gorenstein gr-projective modules are given.

引文

[1] BENNIS D, MAHDOU N. A generalization of strongly Gorenstein projective modules[J]. Journal of Algebra and Its Applications, 2009, 8(2):219-227.
    [2] ZHAO Guoqiang, HUANG Zhaoyong. n-strongly Gorenstein projective, injective and flat modules[J]. Communications in Algebra, 2011, 39(8):3044-3062.
    [3] ASENSIO M J, LOPEZ RAMOS J A, TORRECILLAS B. Gorenstein gr-injective and gr-projective modules[J]. Communications in Algebra, 1998, 26(1):225-240.
    [4] MAO Lixin. Strongly Gorenstein graded modules[J]. Frontiers of Mathematics in China, 2017, 12(1):157-176.
    [5] ENOCHS E E, IACOB A, JENDA O M G. Closure under transfinite extensions[J]. Illinois Journal of Mathematics, 2007, 51(2):561-569.
    [6] HOLM H. Gorenstein homological dimensions[J]. Journal of Pure and Applied Algebra, 2004, 189(1):167-193.