On ∼ bisimple right type B ω− semigroups as model of some fractal structure

Chunhua Li, Li-min Wang, Baogen Xu and Huawei Huang

Chaos, Solitons & Fractals, 2016, vol. 89, issue C, 169-174

Abstract: Motivated by studying various classes of bisimple inverse semigroups with special semilattices of idempotents, and as a continuation of Reilly description of bisimple inverse ω− semigroups. In this paper, we introduce the concept of generalized Bruck–Reilly extensions. We call a (right) type B ω− semigroup with the generalized Bruck–Reilly extension a ∼ bisimple (right) type B ω− semigroup. After obtaining some basic properties and characterizations of this class of semigroups, we get sufficient and necessary conditions for an arbitrary ∼ bisimple (right) type B ω− semigroup to be a (right) type B semigroup. Finally, we get structure theorems for some special cases of such semigroups and give an application of our results.

Keywords: ∼ bisimple; Bruck–Reilly extensions; (right) type B semigroups; (left) good congruences; ω− chains (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:89:y:2016:i:c:p:169-174

DOI: 10.1016/j.chaos.2015.10.022

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