Anti-soft ideals of lattices(格的反软理想)

首先给出了格的反软理想新概念,证明2个反软理想分别在软集的限制并和“或”运算下仍然是反软理想.其次,利用软集的反对偶给出反软理想的等价刻画.再次,利用软集的反扩张原理给出反软理想在同态映射下反像与原像的性质.最后,在全体反软理想组成的集合H上,引入链条件并讨论H是阿丁的或诺特的充要条件....

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Bibliographic Details
Main Authors: TONGJuan(童娟), LIAOZuhua(廖祖华), ZHAOYancai(赵衍才), LIAOCuicui(廖翠萃), ZHANGLongxiang(张龙祥), LUTeng(路腾), WUShuzhong(吴树忠)
Format: Article
Language:zho
Published: Zhejiang University Press 2017-01-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2017.01.005