| 格效应代数的理想与同态 |
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| 引用本文： | 刘龙飞.格效应代数的理想与同态[J].宁夏大学学报(自然科学版),2011(3):202-204,207. |
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| 作者姓名： | 刘龙飞 |
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| 作者单位： | 渭南师范学院教务处; |
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| 基金项目： | 陕西省教育厅专项基金资助项目(2010JK538); 渭南师范学院科研基金资助项目(11YKZ052) |
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| 摘 要： | 给出了一些格效应代数的例子,并讨论了其理想.证明了效应代数的一个子集是代数系统F的一个极大效应代数理想,也是F的一个格理想当且仅当它是某个同态映射的核.特别地,单态射的像是一个子效应代数.得到了广义效应代数的真理想是一个子广义效应代数,子广义效应代数也是一个真理想.
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| 关 键 词： | 格效应代数 理想 同态 广义效应代数 |
Ideals and Homomorphisms in Lattice Effect Algebra |
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| Liu Longfei.Ideals and Homomorphisms in Lattice Effect Algebra[J].Journal of Ningxia University(Natural Science Edition),2011(3):202-204,207. |
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| Authors: | Liu Longfei |
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| Institution: | Liu Longfei (Department of Educational Administration Office,Weinan Teachers University,Weinan 714000,China) |
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| Abstract: | In this paper,some examples of lattice effect algebras are listed and discussed.It is proved that effect algebra ideals and lattice ideals in a lattice effect algebra are consistent if and only if they are both kernel of some homomorphism.Especially,the image of a monomorphism is a sub-effect algebra.It is obtained that the proper ideal of a generalized effect algebra is a sub-generalized effect algebra,and vice versa. |
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| Keywords: | lattice effect algebra ideals homomorphisms generalized effect algebra |
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