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超格中的理想(英文) 被引量:3

The Ideal on Hyperlattices
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摘要 在超格中引入了超序的概念,得到了超序的若干特征定理。借助于超序的概念,给出了超格中的理想的定义,研究了超格中的理想的一系列性质。 In this paper, we introduce the concept of hyperorder on hyperlattice and obtain some charactizations of hyperorder. By means of hyperorder, we give the definition of ideal on hyperlattice and investigate a series of properties of ideal on hyperlattice.
作者 赵彬 韩胜伟
出处 《模糊系统与数学》 CSCD 北大核心 2008年第4期44-51,共8页 Fuzzy Systems and Mathematics
基金 the National Natural Science Foundation of China (Grant No.10471083) the Teaching and Research Award for Outstanding Young Teachers in Higher Education Institutions of MOE,China.
关键词 超格 超序 理想 Hyperlattice Hyperorder Ideal
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参考文献7

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二级参考文献7

  • 1Rosaria Rota. Hyperaffine planes over hyperrings[J]. Discrete Mathematics 1996,155(3):215-223.
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  • 7辛小龙.超 BCK-代数的模糊超子代数(英文)[J].纯粹数学与应用数学,2001,17(3):261-266. 被引量:9

共引文献16

同被引文献7

  • 1韩胜伟,赵彬.分配超格[J].西北大学学报(自然科学版),2005,35(2):125-129. 被引量:4
  • 2Jun Y B, Zahedi M M, Xin X L, et al. On hyper BCK- algebras[J]. Italian, Pure and Appl. Math., 2000,8:127-136.
  • 3Xin Xiaolong. Hyper BCI-algebras[J]. Discussiones mathematicae general algebra and applications, 2006,26:5- 19.
  • 4Jun Y B, Xin X L, Roh E H, et al. Strong hyper BCK-ideals of hyper BCK-algebras[J]. Math. Japon., 2000,51:493-498.
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  • 6Rosaria Rota. Hyperaffine planes over hyperrings[J]. Discrete Mathematices, 1996,155(3):215-223.
  • 7郭效芝,辛小龙.超格[J].纯粹数学与应用数学,2004,20(1):40-43. 被引量:17

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