R
. We show that End(R) is not regular and is not generated by its idempotents. The Rees order on the idempotents of End(R) has 2N0 many minimal elements. We also prove that the order type of Q is embeddable in the Rees order of End(R).
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Bonato, A., Delic, D. The Monoid of the Random Graph. SemiGroup Forum 61, 138–148 (2000). https://doi.org/10.1007/PL00006009
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DOI: https://doi.org/10.1007/PL00006009