| TL-子环和TL-理想--第5篇:素TL-理想和半素TL-理想 |
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| 引用本文： | 于延栋,王住登. TL-子环和TL-理想--第5篇:素TL-理想和半素TL-理想[J]. 模糊系统与数学, 1999, 13(4): 7-16 |
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| 作者姓名： | 于延栋 王住登 |
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| 作者单位： | 盐城师范学院,数学系,江苏,盐城,224002 |
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| 基金项目： | 中国科学院资助项目，江苏省自然科学基金，，，， |
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| 摘 要： | 引入环的素ＴＬ－理想，全素ＴＬ－理想和半素ＴＬ－理想等概念，并且介绍了它们的一些基本性质，其中Ｔ为任意给定的完备Ｂｒｏｕｗｅｒ格Ｌ上的任意无穷并－分配ｔ－模。此外，还对有单位元的交换环的素ＴＬ－理想和一般的素（全素）ＴＬ－理想的特点进行刻划。
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| 关 键 词： | 环 理想 素TL-理想 半素TL-理想 |
TL-subrings and TL-ideals, Part 5:Prime TL-ideals and Semiprime TL-ideals |
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| YU Yan-dong,WANG Zhu-deng. TL-subrings and TL-ideals, Part 5:Prime TL-ideals and Semiprime TL-ideals[J]. Fuzzy Systems and Mathematics, 1999, 13(4): 7-16 |
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| Authors: | YU Yan-dong WANG Zhu-deng |
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| Abstract: | We introduce the concepts of prime TL-ideals, completely prime TL-ideals, and semiprime TL-ideals of a ring and present some basic properties of them,where T is an arbitrary infinitely ∨-distributive t-norm on a given complete Brouwerian lattice L. In addition,the notions of prime TL-ideals of a commutative ring with identity and prime (completely prime) L-ideals of a ring are characterized. |
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| Keywords: | Ring Ideal Prime (Completely Prime) TL-ideal Semiprime TL-ideal |
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