Periodica Mathematica Hungarica

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

Some notes on strongly E*-unitary inverse semigroups

  • Zhonghao Jiang


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.


Structure Theory Inverse Semigroup Direct Proof Primitive Inverse Semigroup Unitary Inverse Semigroup 
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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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