Abundant semigroups with a multiplicative quasi-adequate transversal |
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| Authors: | Xiangfei Ni |
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| Affiliation: | (1) Department of Mathematics, Lanzhou University, Lanzhou, Ganshu, 730000, China |
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| Abstract: | The concept of quasi-adequate transversals is introduced. Some properties and characterizations for abundant semigroups with a multiplicative quasi-adequate transversal are obtained. In particular, a structure theorem for such abundant semigroups is given. Finally, some special cases are considered. This research was partially supported by the National Natural Science Foundation of China (No. 10571077) and the Natural Science Foundation of Gansu Province (No. 3ZS052-A25-017). |
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| Keywords: | Abundant semigroup Quasi-adequate semigroup Structure theorem Multiplicative quasi-adequate transversal |
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