| 拓扑分子格中的半开元、半内部和不定序同态 |
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| 引用本文： | 白世忠,胡兰芳.拓扑分子格中的半开元、半内部和不定序同态[J].徐州师范大学学报(自然科学版),1992(2). |
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| 作者姓名： | 白世忠 胡兰芳 |
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| 作者单位： | 延安大学
(白世忠)，徐州师院(胡兰芳) |
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| 摘 要： | 本文首先引入并研究了拓扑分子格中的半开元和半闭元概念,其次引入并研究了半内部和半闭包概念,在此基础上,推广了点集拓扑中Kuratowki十四集定理,最后引入并研究了不定序同态和不定开（不定闭）序同态概念。
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| 关 键 词： | 半开元 半内部 连续序同态 不定序同态 不定开序同态 |
SEMI-OPEN ELEMENTS, SEMI-INTERIOR AND IRRESOLUTE ORDER-HOMOMORPHISMS IN TOPOLOGICAL MOLECULAR LATTICES |
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| Bai Shizhong and Fu Lanfang.SEMI-OPEN ELEMENTS, SEMI-INTERIOR AND IRRESOLUTE ORDER-HOMOMORPHISMS IN TOPOLOGICAL MOLECULAR LATTICES[J].Journal of Xuzhou Normal University(Natural Science Edition),1992(2). |
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| Authors: | Bai Shizhong and Fu Lanfang |
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| Institution: | Bai Shizhong and Fu Lanfang |
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| Abstract: | In this paper, semi-open elements and semi-closed elements in topological molecular lattices arc introduced and studied, and then, semi-interior and semi-closure. Based on this, Kuratowski's 14 sets theorem in ordinary topology is generalized. Finally, irresolute order-homomorphism, irresolute open and irresolute closed ordcr-homomorphism arc introduced and studied. |
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| Keywords: | Semi-open clement Semi-interior Continuous order-homomorphism Irresolute order-homomorphism Irresolute open order-homomorphism |
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