期刊文献+

Ideals in Morita Rings and Morita Semigroups 被引量:2

Ideals in Morita Rings and Morita Semigroups
原文传递
导出
摘要 We characterize the lattice of all ideals of a Morita ring (semigroup) when the corresponding pair of rings (semigroups) in the Morita context are Morita equivalent s-unital (like-unitv) rings (semigroups). We characterize the lattice of all ideals of a Morita ring (semigroup) when the corresponding pair of rings (semigroups) in the Morita context are Morita equivalent s-unital (like-unitv) rings (semigroups).
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第4期893-898,共6页 数学学报(英文版)
基金 supported by the National Natural Science Foundation of China(Grant No.19971028) the Natural Science Foundation of Guangdong Province(Grant No.000463,021073 and z02017)
关键词 IDEAL Morita ring Morita semigroup Ideal, Morita ring, Morita semigroup
  • 相关文献

参考文献10

  • 1Garcia, J. L., Simon, J. J.: Morita equivalence for idempotent rings. J. Pure Appl. Algebra, 76, 39-56(1991).
  • 2Tominaga, H.: On s-unital rings. Math. J. Okayama Univ., 18, 117-134 (1976).
  • 3Chen, Y. Q., Shum, K. P.: Morita equivalence for factorisable semigroups. Acta Math. Sinica, English Series, 17, 437-454 (2001).
  • 4Talwar, S.: Strong Morita equivalence and a generalisation of the Rees theorem. J. Algebra, 181, 371-394(1996).
  • 5Anderson, F. W., Fuller, K. R.: Rings and Categories of Modules, Springer, Berlin, 1974.
  • 6Howie, J. M.: An Introduction to Semigroup Theory, Academic Press, London, 1976.
  • 7Chen, Y. Q., Shum, K. P.: Quasi-direct sums of rings and their radicals. Comm. Algebra, 25, 3043-3055(1997).
  • 8Sands, A. D.: Radicals and Morita contexts. J. Algebra, 24, 335- 345 (1973).
  • 9Knauer, U.: Projectivity of acts and Morita equivalence of monoids. Semigroup Forum, 3, 359-370 (1972).
  • 10Chen, Y. Q., Fan, Y., Hao, Z. F.: Morita equivalence of semigroup rings, SEA. Bull. Math., 26(5), 747-750(2003).

同被引文献3

引证文献2

二级引证文献3

  • 1任艳丽,李敏.幂级数J-Armendariz环[J].中山大学学报(自然科学版),2017,56(2):48-52.
  • 2马广琳,王尧,任艳丽.JQ环的一些性质[J].山东大学学报(理学版),2021,56(8):32-38.
  • 3马广琳,王尧,任艳丽.NQ环[J].数学的实践与认识,2022,52(2):213-220.

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