| 可换偏序半群的理想扩张、偏序同态与商序同态 |
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| 引用本文： | 邵海琴,何万生,郭莉琴,何建伟. 可换偏序半群的理想扩张、偏序同态与商序同态[J]. 北京联合大学学报(自然科学版), 2012, 26(4): 51-54 |
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| 作者姓名： | 邵海琴 何万生 郭莉琴 何建伟 |
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| 作者单位： | 天水师范学院数学与统计学院,甘肃天水,741001;天水师范学院数学与统计学院,甘肃天水,741001;天水师范学院数学与统计学院,甘肃天水,741001;天水师范学院数学与统计学院,甘肃天水,741001 |
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| 摘 要： | 通过可换偏序半群的理想和理想扩张，刻画了偏序半群的偏序同态与商序同态的一些重要性质，得到了一些重要结论。推广了可换偏序半群理想扩张的概念和一些相关的重要结论。
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| 关 键 词： | 偏序半群 理想 理想扩张 偏序同态 商序同态 |
Ideal Extensions,Partially Ordered Homomorphisms and Quotient Ordered Homomorphisms of Commulative Partially Ordered Semigroups |
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| SHAO Hai-qin,HE Wan-heng,GUO Li-qin,HE Jian-wei. Ideal Extensions,Partially Ordered Homomorphisms and Quotient Ordered Homomorphisms of Commulative Partially Ordered Semigroups[J]. Journal of Beijing Union University, 2012, 26(4): 51-54 |
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| Authors: | SHAO Hai-qin HE Wan-heng GUO Li-qin HE Jian-wei |
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| Affiliation: | (School of Mathematics and Statistics Institute,Tianshui Normal University,Tianshui Gansu 741001,China) |
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| Abstract: | In this paper,some important properties on partially ordered homomorphism and quotient ordered homomorphism of commutative partially ordered semigroups by ideal and ideal extensions are described and some important conclusions are obtained.The notion on ideal extensions of commutative partially ordered semigroups are extended and some related important conclusions are obtained. |
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| Keywords: | Commutative partially ordered semi groups Ideal Ideal extensions Partially ordered homomorphisms Quotient ordered homomorphisms |
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