完备概分布格上的闭包算子- iii

Q2 Arts and Humanities

Bulletin of the Section of Logic Pub Date : 2015-01-01 DOI:10.18778/0138-0680.44.1.2.08

Calyampudi R. Rao, Venugopalam Undurthi

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引用次数: 0

摘要

本文证明了具有固定最大元m的完全概分配格L的所有闭包算子的格是对偶原子的。定义了完全ADL中完全满足不可约元素的概念，并给出了Φ (L)对偶原子可补的充分必要条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Closure Operators on Complete Almost Distributive Lattices-III

In this paper, we prove that the lattice of all closure operators of a complete Almost Distributive Lattice L with fixed maximal element m is dual atomistic. We define the concept of a completely meet-irreducible element in a complete ADL and derive a necessary and sufficient condition for a dual atom of Φ (L) to be complemented.

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来源期刊

Bulletin of the Section of Logic Arts and Humanities-Philosophy

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

8 weeks