奇異保序變換半群的極大正則子半群

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2000MSC:20M20

The maximal regular subsemigroups of singular order-preserving transformation semigroups

XU Xin-zhai1,MENG Ling2
(1.School of Mathematical Science,Shandong Normal University,Ji’nan250014,China; 2.Basal Board,Shandong Industrially Vocational College,Zibo256414,China)

Let Onbe the singular order-preserving transformation semigroup on the usual finite chain Xn= {1,2,…,n}.In this paper,the maximal regular subsemigroups of Onare discussed with the method of Green’s relations,and all maximal regular subsemigroups of Onare determined.

singular order-preserving transformation semigroups,maximal regular subsemigroups,descending elements,ascending elements