| 有界超格上的微分 |
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| 引用本文： | 王军涛,田英培,辛小龙,邹宇析.有界超格上的微分[J].数学研究及应用,2016,36(2):151-161. |
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| 作者姓名： | 王军涛 田英培 辛小龙 邹宇析 |
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| 作者单位： | 西北大学数学学院, 陕西 西安 710127,韩国国立庆尚大学数学教育学院, 晋州 660-701,西北大学数学学院, 陕西 西安 710127,西北大学数学学院, 陕西 西安 710127 |
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| 基金项目： | 国家自然科学基金 (Grant No.11571281). |
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| 摘 要： | 在有界超格上引入微分,研究了有界超格上微分的一些性质.定义并研究了微分超格的微分超理想和微分超同余,并证明了如果$(L,d)$是一个有界强单微分超格并且$R$是$(L,d)$的一个强微分同余,则$(L/R,g)$仍是一个强单微分超格,其中$g$是由$d$诱导的商超格上的单强微分.
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| 关 键 词： | 超格 微分 微分超理想 微分超同余 |
| 收稿时间： | 1/8/2015 12:00:00 AM |
| 修稿时间： | 2015/10/21 0:00:00 |
On Derivations of Bounded Hyperlattices |
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| Juntao WANG,Yongbae JUN,Xiaolong XIN and Yuxi ZOU.On Derivations of Bounded Hyperlattices[J].Journal of Mathematical Research with Applications,2016,36(2):151-161. |
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| Authors: | Juntao WANG Yongbae JUN Xiaolong XIN and Yuxi ZOU |
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| Institution: | School of Mathematics, Northwest University, Shaanxi 710127, P. R. China,Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Korea,School of Mathematics, Northwest University, Shaanxi 710127, P. R. China and School of Mathematics, Northwest University, Shaanxi 710127, P. R. China |
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| Abstract: | In this paper we introduce derivations in hyperlatices and derive some basic properties of them. Also, some properties of differential hyperideals and differential hypercongruences are studied. Further we prove that for an injective strong differential hyperlattice $(L,d)$ and for a strongly differential hypercongruence $R$ of $(L,d)$, the quotient hyperlattice $(L/R,g)$ is an injective strongly differential hyperlattice, where $g$ is an injective strong derivation on $L/R$ induced by $d$. |
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| Keywords: | hyperlattice derivation differential hyperideal differential hypercongruence |
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