Abstract
A semigroup S is called a Clifford semigroup if it is completely regular and inverse. In this paper, some relations related to the least Clifford semigroup congruences on completely regular semigroups are characterized. We give the relation between Y and ξ on completely regular semigroups and get that Y * is contained in the least Clifford congruence on completely regular semigroups generally. Further, we consider the relation Y *, Y, ν and ε on completely simple semigroups and completely regular semigroups.
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References
Jones, P.R.: The least inverse and orthodox congruences on a completely regular semigroup. Semigroup Forum 27, 390–392 (1983)
Petrich, M., Reilly, N.: Completely Regular Semigroups. Wiley, New York (1999)
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Communicated by László Márki.
This work is supported by Leading Academic Discipline Project of Shanghai Normal University, Project Number: DZL803 and General Scientific Research Project of Shanghai Normal University, No. SK200707.
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Zhang, J., Shen, R. Some relations on completely regular semigroups. Semigroup Forum 79, 119–127 (2009). https://doi.org/10.1007/s00233-009-9145-1
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DOI: https://doi.org/10.1007/s00233-009-9145-1