On  endomorphisms of the inverse semigroup of convex order isomorphisms of a bounded rank which are generated by Rees congruences

Olha Popadiuk

Анотація


Let ℐωn( ⃗conv) be the inverse semigroup of convex order isomorphisms of (ω,⩽) of the rank ⩽n. Let 𝔈𝔫𝔡1(ℐωn( ⃗conv)) be a subsemigroup of ℐωn( ⃗conv) which consists of 𝔞∈ℐωn( ⃗conv) such that the image (α)𝔞 is isomorphic to a subsemigroup of the semigroup of ω×ω-matrix units for all α∈ℐωn( ⃗conv). We describe the semigroup 𝔈𝔫𝔡(ℐωn( ⃗conv)) of all endomorphisms of the monoid ℐωn( ⃗conv) up to its ideal 𝔈𝔫𝔡1(ℐωn( ⃗conv)).

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DOI: http://dx.doi.org/10.30970/vmm.2022.93.034-041

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