伪补分配格的中位数素数理想

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2022-01-01 DOI:10.5817/am2022-4-213

M. Sambasiva Rao

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引用次数: 1

摘要

．在伪补分配格中引入了相干理想、强相干理想和τ闭理想，并推导了它们的刻画定理。导出了伪补分配格的每一个理想成为相干理想的一组等价条件。引入了中位素数理想的概念，给出了伪补分布格的每一个极大理想成为中位素数理想的一些等价条件，从而得到了布尔代数的一个表征。

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Median prime ideals of pseudo-complemented distributive lattices

. Coherent ideals, strongly coherent ideals, and τ -closed ideals are introduced in pseudo-complemented distributive lattices and their characteri- zation theorems are derived. A set of equivalent conditions is derived for every ideal of a pseudo-complemented distributive lattice to become a coherent ideal. The notion of median prime ideals is introduced and some equivalent conditions are derived for every maximal ideal of a pseudo-complemented distributive lattice to become a median prime ideal which leads to a characterization of Boolean algebras.

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

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.