L-余闭包系统的确定

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英文篇名：Determinination of L-coclosure systems 作者：张本海 ; 伏文清 ; 李生刚 英文作者：ZHANG Ben-hai;FU Wen-qing;LI Sheng-gang;College of Mathematics and Information Science,Shaanxi Normal University;School of Foreign Languages,Shaanxi University of Technology;School of Science,Xi′an Technological University; 关键词：L-余闭包系统 ; L-余闭包空间 ; L-强闭包算子 ; L-强内部算子 英文关键词：L-strong closure system;;L-strong closrue space;;L-strong closure operator;;L-strong interior operator 中文刊名：FGJK 英文刊名：Basic Sciences Journal of Textile Universities 机构：陕西师范大学数学与信息科学学院;陕西理工学院外国语学院;西安工业大学理学院; 出版日期：2014-06-30 出版单位：纺织高校基础科学学报 年：2014 期：v.27;No.104 基金：陕西省自然科学基金资助项目(2010JM1005);; 陕西省教育厅专项科研计划项目(11JK0484) 语种：中文; 页：FGJK201402020 页数：6 CN：02 ISSN：61-1296/TS 分类号：85-90

摘要

运用类比和一般化思想研究了L-余闭包系统的确定问题.给出由L-强闭包算子、L-强内部算子以及L-N-强导算子确定L-余闭包系统的具体方法.证明了(SC(X,L),)(X上的L-强闭包算子的全体)(resp.,(SI(X,L),)(X上的L-强内部算子的全体))是与(SF(X,L),)(X上的L-余闭包系统的全体)同构的完备格,且(SD(X,L),)(X上的L-N-导算子的全体)与(SF*(X,L),)(X上的有良闭包的L-余闭包系统的全体)之间存在序同构映射.
        Determinination of L-coclosure systems is studied by using the idea of analogy and generalization.Some specific techniques to determininate L-coclosure systems by L-strong closure operator,Lstrong interior operator and L-N-strong derived operator are given.It is proved that SC(X,L)(the set of all L-strong closure operators on X)(resp.,SI(X,L)(the set of all L-strong interior operators on X))and SF(X,L)(the set of all L-co-closure systems on X)are isomorphic complete lattices,and there is an order isomorphic mapping between(SD(X,L),)(the set of all L N-strong derived operators on X)and(SF*(X,L),)(the set of all L-co-closure systems which have nice closure on X).

引文

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