浙江大学学报（理学版）2017，Vol.44Issue(1)：33-39,7.DOI:10.3785/j.issn.1008-9497.2017.01.005
格的反软理想
Anti-soft ideals of lattices
摘要
Abstract
Firstly ,the definition of anti‐soft ideals is given ,and we show that the restricted union and‘OR’operation of two anti‐soft lattices are still anti‐soft ideal .Then ,we discuss the equivalent characterizations of anti‐soft ideals based on the anti‐dual of soft set .In addition ,based on the anti‐extension principle ,the properties of their anti‐image and inverse image are derived under the homomorphic mapping .Finally ,we introduce the condition of chain over H which is composed of all the anti‐soft ideals ,and discuss the necessary and sufficient condition for that H is Artinian or Noetherian .关键词
反软理想/软集/反对偶/同态/反像Key words
anti-soft ideal/soft set/anti-dual/homomorphism/anti-image分类
数理科学引用本文复制引用
童娟,廖祖华,赵衍才,廖翠萃,张龙祥,路腾,吴树忠..格的反软理想[J].浙江大学学报（理学版）,2017,44(1):33-39,7.基金项目
江苏省自然科学基金资助项目（BK20151117）；国家自然科学基金资助项目（61673193）． （）
