n-Ding投射模和n-Ding内射模

详细信息    查看全文 | 推荐本文 |

英文篇名：n-Ding projective and n-Ding injective modules 作者：张铭 ; 张文汇 英文作者：ZHANG Ming;ZHANG Wen-hui;College of Mathematics and Statistics, Northwest Normal University; 关键词：n-Ding投射模 ; n-Ding内射模 ; n-Ding投射维数 ; n-Ding内射维数 英文关键词：n-Ding projective module;;n-Ding injective module;;n-Ding projective dimension;;n-Ding injective dimension 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：2018-11-09 15:13 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(11201376) 语种：中文; 页：SDDX201904009 页数：7 CN：04 ISSN：37-1389/N 分类号：64-70

摘要

引入n-Ding投射模和n-Ding内射模,讨论了两类模的同调性质,研究了模的n-Ding投射性在优越扩张下的遗传性。
        n-Ding projective and n-Ding injective modules are introduced, the homological properties of these two kinds of modules are discussed, and the hereditary property of the n-Ding projectiveness of module under the excellent extension is investigated.

引文

[1] MAO Linxin, DING Nanqing. Gorenstein FP-injective and Gorenstein flat modules[J]. Journal of Algebra and Its Applications, 2008, 7(4):491-506.
    [2] GILLESPIE J. Model structures on modules over Ding-Chen rings[J]. Homology, Homotopy and Applications, 2010, 12(1):61-73.
    [3] TANG Xi. Applications of n-Gorenstein projective and injective modules[J]. Hacettepe Journal of Mathematics and Statistics, 2015, 44(6):1435-1443.
    [4] ENOCHS E E, JENDA O M G. Gorenstein injective and projective modules[J]. Math Z, 1995, 220(4):611-633.
    [5] STENSTR?M B. Coherent rings and FP-injective modules[J]. J London Math Soc(Ser2), 1970, 2:323-329.
    [6] HOLM H. Gorenstein homological dimensions[J]. Journal of Pure and Applied Algebra, 2004, 189:167-193.
    [7] ENOCHS E E, JENDA O M G. Relative homological algebra[M]. Berlin: Walter de Gruyter, 2000.
    [8] HUANG Zhaoyong. Proper resolutions and Gorenstein categories[J]. Journal of Algebra, 2013, 393:142-169.
    [9] LAM T Y. Lectures on modules and rings[M]// Graduate Texts in Math. New York: Springer-Verlag, 1999.
    [10] ANDERSON F W, FULLER K R. Rings and categories of modules[M]. New York: Springer-Verlag, 1992.
    [11] FIELDHOUSE D J. Character modules, dimension and purity[J]. Glasgow Mathematical Journal, 1972, 13(2):144-146.
    [12] PASSMAN D S. The algebraic structure of group rings[M]. New York: Wiley-Interscience, 1977.
    [13] FANG Hongjin. Normalizing extensions and modules[J]. Journal of Mathematical Research and Exposition, 1992, 12(3):401-406.