Congruences on ∼ bisimple right type B ω – semigroups. (4th July 2017)

• Record Type: Journal Article
• Authors: Li, Chunhua; Xu, Baogen; Huang, Huawei
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 20:Number 5(2017)
• Page Start: 1251
• Page End: 1262
• Publication Date: 2017-07-04
• Subjects: right type B semigroups -- idempotent-separating -- right * congruences -- ω – chains; 20M10 -- 06F05; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2017.1303940
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: The structure of a ∼ bisimple right typeB ω – semigroup was described by Li, Wang, Xu and Huang as the generalized Bruck-Reilly extensions. As a continuation of their work, in this paper, we shall consider some classes of congruences on such semigroups. It is shown that an arbitrary right * congruence on some classes of ∼ bisimple right typeB ω – semigroups is either an idempotent-separating congruence or a left cancellative congruence.