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Maximal Regular Subsemibands of Singn
Authors:Xiuliang Yang  Haobo Yang
Affiliation:(1) Department of Mathematics, Hangzhou Teachers College, Hangzhou City, 310036, Zhejiang Province, P.R. China
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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