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EP-内射环的等价刻画及性质 被引量:7

Equivalent conditions and properties on EP-injective rings
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摘要 给出了EP 内射环的几种等价刻画,证明了半素右EP 内射环的每一个极大右(左)零化子是由一个幂等元生成的极大右(左)理想. Some equivalent conditions on EPinjective rings are given.It is proved that every maximal right(left)annihilator of semiprime ringt EPinjective rings is a maximal right(left) ideal generated by ideampotent.
出处 《西北师范大学学报(自然科学版)》 CAS 2003年第4期20-22,共3页 Journal of Northwest Normal University(Natural Science)
关键词 EP—内射环 零化子 等价条件 同态 EP-injective rings annihilator equivalent conditions homomorphism
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参考文献4

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同被引文献26

  • 1宋贤梅.Regularity of Rings Whose Every Simple Singular Left R-module is GP-injective[J].Northeastern Mathematical Journal,2005,21(1):39-44. 被引量:5
  • 2赵玉娥,杜先能.关于拟GP-内射模(英文)[J].大学数学,2005,21(3):38-41. 被引量:9
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  • 9李哲,殷晓斌.关于环的singular-内射性的一些研究[J].四川大学学报,2008,24(3):51-53.
  • 10W.K.Nicholson and M.F.Yousif.Principally injective rings[J].J.Algebra,1995,174:77-93.

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