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WLR-regular orthogroups

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Abstract

A regular orthogroup S with the property that D e =R e or D e =L e for any idempotent e∈S is called a WLR-regular orthogroup. In this paper, we give constructions of such semigroups in terms of spined products of left and right regular orthogroups with respect to Clifford semigroups. WLR-cryptogroups and its special cases are also investigated.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People’s Republic of China

    Jiangang Zhang

  2. Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, People’s Republic of China

    Guangtian Song

  3. Department of Mathematics, Southwest University, Chongqing, 400715, People’s Republic of China

    Guoxin Liu

Authors
  1. Jiangang Zhang
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  2. Guangtian Song
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  3. Guoxin Liu
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Corresponding author

Correspondence to Jiangang Zhang.

Additional information

Communicated by László Márki.

Research supported by General Scientific Research Project of Shanghai Normal University No. SK200707.

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Zhang, J., Song, G. & Liu, G. WLR-regular orthogroups. Semigroup Forum 77, 463–473 (2008). https://doi.org/10.1007/s00233-008-9079-z

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  • DOI: https://doi.org/10.1007/s00233-008-9079-z

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