Geodesic
Connected pseudofinite unars
Algebra i logika, Tome 63 (2024) no. 3, pp. 280-292

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We start studying the structure of pseudofinite unars. Necessary (sufficient) conditions of being pseudofinite are formulated for connected unars without cycles, containing no chains, and we give examples showing that these conditions are not sufficient (necessary). It is noted that a coproduct of chains is a pseudofinite unar; in particular, a chain is a pseudofinite unar. A nonpseudofinite connected unar without cycles, containing exactly one chain is exemplified. For connected unars without cycles, containing two chains, we formulate a necessary condition of being pseudofinite and give an example of a nonpseudofinite unar.
Mots-clés : pseudofinite unar
Keywords: connected unar without cycles. 
@article{AL_2024_63_3_a3,
     author = {E. L. Efremov and A. A. Stepanova and S. G. Chekanov},
     title = {Connected pseudofinite unars},
     journal = {Algebra i logika},
     pages = {280--292},
     publisher = {mathdoc},
     volume = {63},
     number = {3},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2024_63_3_a3/}
}
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E. L. Efremov; A. A. Stepanova; S. G. Chekanov. Connected pseudofinite unars. Algebra i logika, Tome 63 (2024) no. 3, pp. 280-292. http://geodesic.mathdoc.fr/item/AL_2024_63_3_a3/