关于有限链的幂等部分压缩映射的个数

离散数学期刊(英文) Pub Date : 2021-06-08 DOI:10.4236/ojdm.2021.113007

Oladapo Adekunle Ojo, Fatma Salim Ali Al-Kharousi, A. Umar

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引用次数: 0

摘要

设为和上的部分对称半群，设为和的保序收缩和保序、降序收缩映射的子半群。在本文中，我们分别研究了和的基数，和的集幂等元。我们还研究了和上某些等价的基数。

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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On the Number of Idempotent Partial Contraction Mappings of a Finite Chain

Let be the partial symmetric semigroup on and let and be its subsemigroups of order-preserving contractions and order-preserving, order-decreasing contractions mappings of , respectively. In this paper we investigate the cardinalities of and , the set idempotents of and , respectively. We also investigate the cardinalities of certain equivalences on and .

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来源期刊

离散数学期刊(英文)

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发文量

127

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