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半环的虚理想
引用本文:欧启通,陈玉成.半环的虚理想[J].厦门理工学院学报,2013(1):11-14.
作者姓名:欧启通  陈玉成
作者单位:厦门理工学院应用数学学院
基金项目:厦门理工学院高层次人才科技项目(YKJ10015R);厦门理工学院科研基金项目(XKJJ201001)
摘    要:摘要]利用泛代数的观点,借助环论的思想方法,提出了半环虚理想的概念,讨论了半环的虚理想经同态映射后仍然是虚理想,得到了半环的虚理想与伪理想的关系.

关 键 词:半环  子半环  理想  虚理想

Dream-ideals of Semirings
OU Qi-tong,CHEN Yu-cheng.Dream-ideals of Semirings[J].Journal of Xiamen University of Technology,2013(1):11-14.
Authors:OU Qi-tong  CHEN Yu-cheng
Institution:(School of Applied Mathematics,Xiamen University of Technology,Xiamen 361024,China)
Abstract:Abtraet: In light of universal algebra and ring theory, the concept of dream-ideals of semirings is introduced. It is held that dream-ideals of semirings remain dream-ideals by homomorphic mapping. The relationship between the dream-ideals and the pseudo-ideals of semirings is also obtained.
Keywords:semiring  subsemiring  ideal  dream-ideals
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