| Abundant Semigroups Which Are Disjoint Unions of Multiplicative Adequate Transversals |
| Received:December 20, 2011 Revised:March 01, 2012 |
| Key Words:
abundant semigroup adequate transversal multiplicative adequate transversal [left right] normal band.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10961014), the Natural Science Foundation of Jiangxi Province (Grant No.2014BAB201009) and the Science Foundation of Education Department of Jiangxi Province (Grant No.GJJ11388). |
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| Abstract: |
| The aim of this paper is to study abundant semigroups which are disjoint unions of multiplicative adequate tranversals. After obtaining some properties of such semigroup, we prove that a semigroup is a disjoint union of multiplicative adequate transversals if and only if it is isomorphic to the direct product of a rectangular band and an adequate semigroup. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.03.005 |
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