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山东大学学报(理学版) ›› 2017, Vol. 52 ›› Issue (11): 87-91.doi: 10.6040/j.issn.1671-9352.0.2017.140

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Ding gr-内射模和Ding gr-平坦模

罗肖强1,邢建民2*   

  1. 1.四川文理学院数学学院, 四川 达州 635000;2.青岛科技大学数理学院, 山东 青岛 266061
  • 收稿日期:2017-03-31 出版日期:2017-11-20 发布日期:2017-11-17
  • 通讯作者: 邢建民(1978— ), 男, 博士, 副教授, 主要研究方向为同调代数. E-mail:xingjianmin1978@163.com E-mail:lxq1128@163.com
  • 作者简介:罗肖强(1965— ), 男, 硕士, 副教授, 主要研究方向为半群与同调代数. E-mail:lxq1128@163.com
  • 基金资助:
    四川省教育厅自然科学基金资助项目(16ZA0357)

Ding gr-injective and gr-flat modules

LUO Xiao-qiang1, XING Jian-min2*   

  1. 1. Department of Mathematics, Sichuan University of Arts and Science, Dazhou 635000, Sichuan, China;
    (2. School of Mathematic and Physics, Qingdao University of Science and Technology, Qingdao 266061, Shandong, China
  • Received:2017-03-31 Online:2017-11-20 Published:2017-11-17

摘要: 引入Ding gr-内射与Ding gr-平坦模的概念, 研究Ding gr-内射模与Ding内射模以及Ding gr-内射模与Ding gr-平坦模的关系。

关键词: Ding内射模, Ding gr-内射模, Ding gr平坦模

Abstract: The notions of Ding gr-injective and Ding gr-flat modules are introduced, and the relations between Ding gr-injective modules and Ding injective modules as well as the relations between Ding gr-injective modules and Ding gr-flat modules are investigated.

Key words: Ding gr-injective modules, Ding injective modules, Ding gr-flat modules

中图分类号: 

  • O154.2
[1] NASTASESCU C, VAN OYSTAEYEN F. Graded ring theory[M]. North-Holland: North-Holland Math Library 28, 1982.
[2] AUSLANDER M, BRIDGER M. Stable module Theory[M]. Providence, Rhode Island: American Mathematical Society, 1969.
[3] ENOCHS E E, JENDA O M G. Gorenstein injective and projective modules[J]. Math Z, 1995, 220(4):611-633.
[4] ENOCHS E E, JENDA O M G. Relative homological algebra[M]. Berlin: Walter de Gruyter, 2000.
[5] HOLM H. Gorenstein homological dimensions[J]. J Pure Appl Algebra, 2004, 189:167-193.
[6] ASENSIO M J, LOPEZ-RAMOS J A, TORRECILLAS B. Gorenstein gr-injective and gr-projective modules[J]. Comm Algebra, 1998, 26(1):225-240.
[7] ASENSIO M J, LOPEZ-RAMOS J A, TORRECILLAS B. Gorenstein gr-flat modules[J]. Comm Algebra, 1998, 26(10):3195-3209.
[8] DING Nanqing, LI Yuanlin, MAO Lixin. Strongly Gorenstein flat modules[J]. J Aust Math Soc, 2009, 86:323-338.
[9] MAO Lixin, DING Nanqing. Gorenstein FP-injective and Gorenstein flat modules[J]. J Algebra Appl, 2008, 7(4):491-506.
[10] GILLESPIE J. Model structures on modules over Ding-Chen rings[J]. Homology, Homotopy Appl, 2010, 12(1):61-73.
[11] ASENSIO M J, LOPEZ-RAMOS J A, TORRECILLAS B. FP-gr-injective modules and gr-FC rings[J]. Algebra and Number Theory, 1999, 206:1-11.
[12] YANG Xiaoyan, LIU Zhongkui. FP-gr-injective modules[J]. Math J Okayama Univ, 2011, 53:83-100.
[13] NASTASESCU C, VAN OYSTAEYEN F. Methods of graded rings[M]. Berlin: Springer, 2004.
[14] NASTASESCU C. Strongly graded rings of finite groups[J]. Comm Algebra, 1983, 11(10):1033-1071.
[15] GARCIA J R, LOPEZ-RAMOS J A, TORRECILLAS B. On the existence of flat covers in R-gr[J]. Comm Algebra, 2001, 29(8):3341-3349.
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