The conjugate hull of a type B semigroup. (18th August 2019)

• Record Type: Journal Article
• Authors: Li, Chunhua; Pei, Zhi; Xu, Baogen; Huang, Huawei; Xie, Min
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 22:Number 6(2019)
• Page Start: 1047
• Page End: 1055
• Publication Date: 2019-08-18
• Subjects: 06F05 -- 20M10; Right translations -- Translational hulls -- Type B semigroups -- Conjugate hulls; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2019.1649030
• Languages: English
• ISSNs: 0972-0529

Abstract

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.