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

Author

Listed:
  • Li, Chunhua
  • Wang, Li-min
  • Xu, Baogen
  • Huang, Huawei

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.

Suggested Citation

  • Li, Chunhua & Wang, Li-min & Xu, Baogen & Huang, Huawei, 2016. "On ∼ bisimple right type B ω− semigroups as model of some fractal structure," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 169-174.
    • Handle: RePEc:eee:chsofr:v:89:y:2016:i:c:p:169-174
    DOI: 10.1016/j.chaos.2015.10.022
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