偏序集为模偏序集的等价形式

Q4 Mathematics

Discussiones Mathematicae - General Algebra and Applications Pub Date : 2021-04-06 DOI:10.7151/dmgaa.1358

P. Sundarayya, T. R. Kishore

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引用次数: 0

摘要

J. Larmerova和J. Rachnek引入了模和分配偏序集的概念，推广了格理论中的相应概念。然后将唯一补格的一些推广结果推广到唯一补偏集。本文给出了偏序集是模偏序集的几个等价条件。

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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Equivalent Forms for a Poset to Be Modular Poset

Abstract The notion of modular and distributive posets which generalize the corresponding notions from the lattice theory are introduced by J. Larmerova and J. Rachnek. Later some extended results of uniquely complemented lattice are derived to uniquely complemented posets. Now, in this paper, some equivalent conditions for a poset to be modular poset are given.

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来源期刊

Discussiones Mathematicae - General Algebra and Applications Mathematics-Algebra and Number Theory

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

26 weeks