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Periodica Mathematica Hungarica

, Volume 44, Issue 1, pp 75–80 | Cite as

Some notes on strongly E*-unitary inverse semigroups

  • Zhonghao Jiang
Article

Abstract

In this paper, we give a direct proof that every strongly \(\user1{E}^ * --\user1{unitary}\) inverse semigroup can be embedded into a 0-semidirect product of a semilattice with zero by a group. As a corollary, we obtain a new proof of the structure theory of strongly \(\user1{E}^ * --\user1{unitary}\) inverse semigroups described in [1]. We also prove that the strongly \(\user1{E}^ * --\user1{unitary}\) inverse semigroups are precisely \(\user1{E}^ * -\user1{unitary}\) inverse semigroups equipped with a \(\user1{0 - restricted}\), idempotent pure prehomomorphism to a primitive inverse semigroup.

Keywords

Structure Theory Inverse Semigroup Direct Proof Primitive Inverse Semigroup Unitary Inverse Semigroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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REFERENCES

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Zhonghao Jiang
    • 1
  1. 1.Department of MathematicsNorthern Jiaotong UniversityBeijingP.R. China

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