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Abundant semigroups with a multiplicative quasi-adequate transversal
Authors:Xiangfei Ni
Affiliation:(1) Department of Mathematics, Lanzhou University, Lanzhou, Ganshu, 730000, China
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).
Keywords:Abundant semigroup  Quasi-adequate semigroup  Structure theorem  Multiplicative quasi-adequate transversal
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