Maximal Regular Subsemibands of Singn |
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Authors: | Xiuliang Yang Haobo Yang |
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Affiliation: | (1) Department of Mathematics, Hangzhou Teachers College, Hangzhou City, 310036, Zhejiang Province, P.R. China |
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Abstract: | We describe maximal regular subsemibands of the singular transformation semigroup Singn on the set Xn = {1, 2, . . . n} and obtain their complete classification We show that Singn has n(n + 1)/2 maximal regular subsemibands, and formulate the cardinal number of such subsemigroups. |
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