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

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

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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关于有限链的幂等部分压缩映射的个数
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。
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