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- W4385436700 abstract "We study injective endomorphisms of the semigroup $boldsymbol{B}_{omega}^{mathscr{F}}$ with the two-elements family $mathscr{F}$ of inductive nonempty subsets of $omega$. We describe the elements of the semigroup $boldsymbol{End}^1_*(boldsymbol{B}_{omega}^{mathscr{F}})$ of all injective monoid endomorphisms of the monoid $boldsymbol{B}_{omega}^{mathscr{F}}$, and show that Green's relations $mathscr{R}$, $mathscr{L}$, $mathscr{H}$, $mathscr{D}$, and $mathscr{J}$ on $boldsymbol{End}^1_*(boldsymbol{B}_{omega}^{mathscr{F}})$ coincide with the relation of equality." @default.
- W4385436700 created "2023-08-01" @default.
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- W4385436700 date "2023-07-28" @default.
- W4385436700 modified "2023-09-23" @default.
- W4385436700 title "On the semigroup of injective monoid endomorphisms of the monoid $boldsymbol{B}_{omega}^{mathscr{F}}$ with the two-elements family $mathscr{F}$ of inductive nonempty subsets of $omega$" @default.
- W4385436700 doi "https://doi.org/10.48550/arxiv.2307.15481" @default.
- W4385436700 hasPublicationYear "2023" @default.
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