分配格的广义素$D$滤子

IF 0.5 Q3 MATHEMATICS
A. P. P. Kumar, M. S. Rao, K. S. Babu
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引用次数: 1

摘要

在分配格中引入了广义素d滤波器的概念。广义素数d -滤波器用主滤波器和理想来表示。在分配格中引入了广义最小素数d -滤波器的概念,研究了最小素数d -滤波器关于同余的性质。研究了分布格上所有素数d滤波器空间的一些拓扑性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Generalized prime $D$-filters of distributive lattices
The concept of generalized prime D-filters is introduced in distributive lattices. Generalized prime D-filters are characterized in terms of principal filters and ideals. The notion of generalized minimal prime D-filters is introduced in distributive lattices and properties of minimal prime D-filters are then studied with respect to congruences. Some topological properties of the space of all prime D-filters of a distributive lattice are also studied.
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来源期刊
Archivum Mathematicum
Archivum Mathematicum MATHEMATICS-
CiteScore
0.70
自引率
16.70%
发文量
0
审稿时长
35 weeks
期刊介绍: Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.
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