On the semigroup of injective monoid endomorphisms of the monoid Bωℱ with the two-elements family ℱ of inductive nonempty subsets of ω

Oleg Gutik, Inna Pozdniakova

Анотація


We study injective endomorphisms of the semigroup Bωℱ with the two-elements family ℱ of inductive nonempty subsets of ω. We describe the elements of the semigroup End1*(Bωℱ) of all injective monoid endomorphisms of the monoid Bωℱ, and show that Green's relations ℜ, 𝔏, ℌ, 𝔇, and 𝔍  on End1*(Bωℱ) coincide with the relation of equality.

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DOI: http://dx.doi.org/10.30970/vmm.2022.94.032-055

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