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Weakly J-covered completely regular semigroups

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Abstract

After defining the weakly covering and covering congruence on regular semigroups, we give a necessary and sufficent condition for the J-relation on a completely regular semigroup to be a weakly covering congruence and construct J-covered and weakly covered completely regular semigroups.

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Authors and Affiliations

  1. Department of Mathematics, Xiangtan Normal University, 411201, Xiangtan, Hunan, China

    Yong He

  2. Department of Mathematics, Yunnan University, 650091, Kunming, Yunnan, China

    Yong He

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  1. Yong He
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Corresponding author

Correspondence to Yong He.

Additional information

Communicated by Karl H. Hofmann

This work is partially supported by NSF of China (No. A10071068) and the Hunan Education Committee Youth Foundation (No. 99B14).

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He, Y. Weakly J-covered completely regular semigroups. Semigroup Forum 66, 97–109 (2002). https://doi.org/10.1007/s002330010116

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  • DOI: https://doi.org/10.1007/s002330010116

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