| 伪对合剩余格(非可换)与伪效应代数(英文) |
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| 引用本文： | 张小红,樊雪双.伪对合剩余格(非可换)与伪效应代数(英文)[J].模糊系统与数学,2010,24(1). |
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| 作者姓名： | 张小红 樊雪双 |
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| 作者单位： | 宁波大学,数学系,浙江,宁波,315211 |
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| 基金项目： | National Natural Science Foundation of China(Grant No.60775038) |
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| 摘 要： | 提出伪对合剩余格(非可换)的概念。通过在伪效应代数中引入两个部分运算,研究了伪对合剩余格与格伪效应代数之间的自然关系,证明了以下结论:在一定条件下,一个格伪效应代数可被扩张成为一个伪对合剩余格,同时一个伪对合剩余格可被限制为一个格伪效应代数。特别地,得到伪对合剩余格成为具有Riesz分解性质的格伪效应代数的一个充要条件。最后,还讨论了伪效应代数与剩余格的理想与滤子理论。
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| 关 键 词： | 非可换模糊逻辑 量子结构 格伪效应代数 部分运算 伪对合剩余格 滤子 |
Pseudo-involutive Residuated Lattices (Non-commutative)and Pseudo-effect Algebras |
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| ZHANG Xiao-hong,FAN Xue-shuang.Pseudo-involutive Residuated Lattices (Non-commutative)and Pseudo-effect Algebras[J].Fuzzy Systems and Mathematics,2010,24(1). |
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| Authors: | ZHANG Xiao-hong FAN Xue-shuang |
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| Institution: | Department of Mathematics/a>;Ningbo University/a>;Ningbo 315211/a>;China |
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| Abstract: | The notion of pseudo-involutive residuated lattices(non-commutative) is introduced.By introducing two partial operations in pseudo-effect algebras,the mutual relationship between pseudo-involutive residuated lattices and lattice pseudo-effect algebras are investigated.The following results are proved: a lattice pseudo-effect algebra under certain conditions can be extended to a pseudoinvolutive residuated lattice and the latter with certain properties can be restricted to the former.Especially,a sufficient ... |
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| Keywords: | Non-commutative Fuzzy Logic Quantum Structure Lattice Pseudo-effect Algebra Partial Operation Pseudo-involutive Residuated Lattice Filter |
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