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On generalized inverse transversals

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Abstract

Let S be a regular semigroup, S o an inverse subsemigroup of S. S o is called a generalized inverse transversal of S, if V (x) ∩ S o ≠ ø. In this paper, some properties of this kind of semigroups are discussed. In particular, a construction theorem is obtained which contains some recent results in the literature as its special cases.

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Authors and Affiliations

  1. Department of Mathematics, Yunnan University, Kunming, 650091, P. R. China

    Rong Hua Zhang

  2. Department of Mathematics, Yunnan Normal University, Kunming, 650092, P. R. China

    Shou Feng Wang

Authors
  1. Rong Hua Zhang
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  2. Shou Feng Wang
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Correspondence to Rong Hua Zhang.

Additional information

The project is supported by the Yunnan Province Education Fund #5z0058A

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Zhang, R.H., Wang, S.F. On generalized inverse transversals. Acta. Math. Sin.-English Ser. 24, 1193–1204 (2008). https://doi.org/10.1007/s10114-007-6550-9

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  • DOI: https://doi.org/10.1007/s10114-007-6550-9

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