Geodesic
Embeddability of the semilattice $\mathbf{L^0_m}$ in Rogers semilattices
Algebra i logika, Tome 55 (2016) no. 3, pp. 328-340

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We give sufficient conditions under which an upper semilattice of computably enumerable $\mathbf m$-degrees is isomorphic to an ideal of a Rogers semilattice of a two-element family of sets in the Ershov hierarchy. It is shown that the given conditions are not necessary.
Keywords: computably enumerable $\mathbf m$-degrees, Rogers semilattice, Ershov hierarchy. 
@article{AL_2016_55_3_a2,
     author = {B. S. Kalmurzaev},
     title = {Embeddability of the semilattice $\mathbf{L^0_m}$ in {Rogers} semilattices},
     journal = {Algebra i logika},
     pages = {328--340},
     publisher = {mathdoc},
     volume = {55},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2016_55_3_a2/}
}
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B. S. Kalmurzaev. Embeddability of the semilattice $\mathbf{L^0_m}$ in Rogers semilattices. Algebra i logika, Tome 55 (2016) no. 3, pp. 328-340. http://geodesic.mathdoc.fr/item/AL_2016_55_3_a2/