江苏师范大学学报(自然科学版)
江囌師範大學學報(自然科學版)
강소사범대학학보(자연과학판)
Journal of Xuzhou Normal University(Natural Science Edition)
2014年
3期
19-21
,共3页
半素理想%半基%相容半素集%相容完备格%相容半连续格
半素理想%半基%相容半素集%相容完備格%相容半連續格
반소이상%반기%상용반소집%상용완비격%상용반련속격
semiprime ideal%semi-base%consistently semiprime subset%consistently complete lattice%consistently semicontinuous lattice
给出了相容半连续格的概念以及它的若干性质,利用相容半素极小集的方法阐述了映射的相容半连续性、保c关系和保相容半素极小集之间的联系,并得到相容半连续格的任意收缩仍是相容半连续格的结论。
給齣瞭相容半連續格的概唸以及它的若榦性質,利用相容半素極小集的方法闡述瞭映射的相容半連續性、保c關繫和保相容半素極小集之間的聯繫,併得到相容半連續格的任意收縮仍是相容半連續格的結論。
급출료상용반련속격적개념이급타적약간성질,이용상용반소겁소집적방법천술료영사적상용반련속성、보c관계화보상용반소겁소집지간적련계,병득도상용반련속격적임의수축잉시상용반련속격적결론。
In this paper,the concept of consistently semicontinuous lattice is introduced and examined.By using the method of consistently semiprime minimal subsets,the relationships among the consistently semicontinuous,the property of preserving c and the property of preserving consistently semiprime minimal subsets of mappings are ex-plained.In addition,the fact that any retract of a consistently semicontinuous lattice is still consistently semicontin-uous is proved.