期刊文献+

FP-small内射性与J-内射性

On FP-small Injectivity And J-injectivity
在线阅读 下载PDF
导出
摘要 作为FP-内射性的推广,在文中引入了FP-small内射性.研究了右FP-small内射环的一些性质.利用FP-small内射性给出了FP-环与QF-环的一些新刻画.同时,还研究了环模的J-内射性.构造了一些相关例子. This paper introduced FP-smai1 injectivity as the generalization of FP-injectivity, researched on some properties of right FP-small injective rings, obtained several new characterizations of FP-rings and QF-rings respectively with FP-small injetivity, studied the J-injectivity of circular moulas, and constructed some relateal examples.
出处 《杭州师范大学学报(自然科学版)》 CAS 2013年第2期110-115,共6页 Journal of Hangzhou Normal University(Natural Science Edition)
基金 湖南省教育厅科研项目(12B101)
关键词 FP-small内射性 J-内射性 FP-环 半本原环 FP-small injectivity J-injectivity FP-rings semiprimitive rings
  • 相关文献

参考文献17

  • 1Anderson F W, Fuller K R. Rings and categories of modules [M]. New York: Springer-Verlag, 1974:67.
  • 2Lam T Y. Lectures on modules and rings[M]. New York: Springer-Verlag,1999..480-488.
  • 3Lam T Y. A first course in noncommutative rings [M]. New York: Springer-Verlag,2001:46.
  • 4Nicholson W K, Yousif M F. Quasi-Frobenius rings [M]. Cambridge: Cambridge University Press,2003:95-126.
  • 5Chen Jianlong, Ding Nanqing, Li Yuanlin, et al. On (m,n)-injectivity of modules [J]. Comm Algebra,2001,29(12):5589-5603.
  • 6Ding Nanqing, Li Yuanlin, Mao Lixin. J-coherent rings[J]. J Algebra and Its Appl,2009,8(2)1139-155.
  • 7Jain S. Flat and FP-injectivity[J]. Proc Amer Math Soc, 1973,41(2) :437-442.
  • 8Nicholson W K, Yousif M F. Principally injective rings[J]. J Algebra,1995,174(1):77-93.
  • 9Nicholson W K, Yousif M F. Mininjective rings[J]. J Algebra, 1997,187 (2) : 548-578.
  • 10Nicholson W K, Yousif M F. FP-rings[J]. Comm Algebra,2001,29(1) :415-425.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部