The binary quasiorder on  semigroups

Taras Banakh, Olena Hryniv

Анотація


Given two elements x,y of a semigroup X we write x≪y if for every homomorphism χ:X→{0,1} we have χ(x)≤χ(y). The quasiorder ≪ is called the binary quasiorder on X. It induces the equivalence relation ⇕ that coincides with the least semilattice congruence on X. In the paper we discuss some known and new properties of the binary quasiorder on semigroups.

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DOI: http://dx.doi.org/10.30970/vmm.2021.91.028-039

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