格的反软理想
发布时间：2019-01-01 14:19
【摘要】：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.
[Abstract]:In this paper, we first give a new concept of anti-soft ideals of lattices, and prove that two anti-soft ideals are still anti-soft ideals under the constraints of soft sets and "or" operations, respectively. Secondly, we give the equivalent characterizations of anti-soft ideals by using the anti-couple of soft sets. Thirdly, by using the anti-extension principle of soft sets, the properties of anti-soft ideals under homomorphic mapping are given. Finally, on the set H of all anti-soft ideals, the chain condition is introduced and the necessary and sufficient conditions for H to be Aden or Nott are discussed.
【作者单位】： 江南大学理学院信息与计算科学系;无锡城市职业技术学院基础课部;
【基金】：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)
【分类号】：O159;O153.1
，
本文编号：2397685
[Abstract]:In this paper, we first give a new concept of anti-soft ideals of lattices, and prove that two anti-soft ideals are still anti-soft ideals under the constraints of soft sets and "or" operations, respectively. Secondly, we give the equivalent characterizations of anti-soft ideals by using the anti-couple of soft sets. Thirdly, by using the anti-extension principle of soft sets, the properties of anti-soft ideals under homomorphic mapping are given. Finally, on the set H of all anti-soft ideals, the chain condition is introduced and the necessary and sufficient conditions for H to be Aden or Nott are discussed.
【作者单位】： 江南大学理学院信息与计算科学系;无锡城市职业技术学院基础课部;
【基金】：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)
【分类号】：O159;O153.1
，
本文编号：2397685
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