期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

The Rings Characterized by Minimal Left Ideals 被引量：7

The Rings Characterized by Minimal Left Ideals
原文传递
导出
摘要 We study these rings with every minimal left ideal being a projective, direct summand and a p-injective module, respectively. Some characterizations of these rings are given, and the relations among them are obtained. With these rings, we characterize seinisiinple rings. Finally, we introduce MC2 rings, and give some characterizations of MC2 rings. We study these rings with every minimal left ideal being a projective, direct summand and a p-injective module, respectively. Some characterizations of these rings are given, and the relations among them are obtained. With these rings, we characterize seinisiinple rings. Finally, we introduce MC2 rings, and give some characterizations of MC2 rings.
作者 Jun Chao WEI
机构地区 School of Science Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第3期473-482,共10页 数学学报（英文版）
基金 Project supported by the Foundation of Natural Science of China (19971073) the Natural Science Foundation of Jiangsu Province
关键词 DS ring PS ring MP ring MC2 ring Minijective ring Singular ideal. DS ring, PS ring, MP ring, MC2 ring, Minijective ring, Singular ideal.
分类号 O153.3 [理学—基础数学]
  • 相关文献

参考文献11

  • 1Nicholson, W. K., "Watters, J. F.: Rings with projective socle. Proc. Amer. Math. Soc., 102, 443-450(1988).
  • 2Nicholson, W. K., Yousif, M. F.: Minijective rings. J. Algebra., 187, 548-578 (1997).
  • 3Camillo, V.: Commutative rings whose principal ideals are annihilators. Portugal Math., 46, 33-37 (1989).
  • 4Xue, W. M.: Characterization of rings using direct projective modules and direct injective modules. J. Pure App. Alg, 87, 99-104 (1993).
  • 5Parmenter, M. M., Stewart, P. N.: Excellent extensions. Comm Alg., 16(4), 703-713 (1988).
  • 6Quinn, D.: Group graded rings and duality. Trans Amer Math Soc., 292, 154-167 (1985).
  • 7Nicholson, W. K., Yousif. M. F.: Principally injective rings. J. Algebra., 174, 77-93 (1995).
  • 8Ware, R. P.: Endomorphism rings of projective modules. Trans. Amer. Math. Soc., 155, 233-256 (1971).
  • 9Liu, Z. K.: Rings with fiat left socle. Comm. in Alg., 23(5), 1645-1656 (1995).
  • 10Yousif, M. F.: On continuous rings. J. Alg., 191, 475-509 (1997).

同被引文献8

引证文献7

二级引证文献23

Acta Mathematica Sinica,English Series
2005年 第3期

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