可由二重不可约分解的姿势

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2021-01-28 DOI:10.18311/JIMS/2021/26053

A. N. Bhavale, B. Waphare

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引用次数: 0

摘要

本文引入了可被双不可约可拆解的偏序集的概念。我们还介绍了偏序集的“1和”和“2和”运算。利用这些运算，我们得到了双不可约可拆解偏集的结构定理，推广了可拆解格的结构定理。

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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Posets Dismantlable by Doubly Irreducibles

In this paper, we introduce the concept of a poset dismantlable by doubly irreducibles. We also introduce the operations, `1-sum' and `2-sum' of posets. Using these operations, we obtain the structure theorem for posets dismantlable by doubly irreducibles, which generalizes the structure theorem for dismantlable lattices.

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.