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| 超格的商结构 | |
| 引用本文： | 李小光. 超格的商结构[J]. 纯粹数学与应用数学, 2008, 24(4) |
| 作者姓名： | 李小光 |
| 作者单位： | 西安航空技术高等专科学校,陕西,西安,710077 |
| 基金项目： | 陕西省自然科学基金 ， 陕西省教育厅专项科研基金 |
| 摘 要： | 通过引入超格的强闭集、上半补超格、数量上界单位元等概念,引出超格上的等价关系.构造数量上界单位集,在此基础上进一步研究超格的一些性质.商代数结构定理的建立对于完善超格的商结构具有实际意义. |
| 关 键 词： | 超格 上半补超格 数量上界单位元 商超格:同构 |
On quotient structure hyperlattices |
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| LI Xiao-guang. On quotient structure hyperlattices[J]. Pure and Applied Mathematics, 2008, 24(4) | |
| Authors: | LI Xiao-guang |
| Abstract: | In this paper the concepts of strongly closed set of hyperlattices and scalar-upper bound identity element are introduced.The equivalence relation of hyperlattices and the scalar-upper bound identity set is constructed.some properties of quotient hyperlattices and theorem of quotient structure are also studied.Theorem of quotient structure is more significant for the quotient algebra. |
| Keywords: | hyperlattices upper semi-complement hyperlattice scalar-upper bound identity element quotient hyperlattices isomorphism |
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