The conjugate hull of a type B semigroup

Chunhua Li1 School of Science, East China Jiaotong University, Nanchang, Jiangxi330013, ChinaCorrespondence[email protected]

Zhi Pei2 School of Science, East China Jiaotong University, Nanchang, Jiangxi330013, China. E-mail: [email protected]

Baogen Xu3 School of Science, East China Jiaotong University, Nanchang, Jiangxi330013, China. E-mail: [email protected]

Huawei Huang4 School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, Guizhou550001, China. E-mail: [email protected]

Min Xie5 School of Science, Jiangxi Science and Technology Normal University, Nanchang, Jiangxi330013, China. E-mail: [email protected]

Abstract

The purpose of this paper is to study the conjugate hull of a type B semigroup. After obtaining some properties and constructions of right translations of the semilattice of a type B semigroup, we give some structure theorems of such semigroups. Finally, we prove that the conjugate hull of an arbitrary type B semigroup is closed under its operation.

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The conjugate hull of a type B semigroup

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The conjugate hull of a type B semigroup

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