On universal functions in hereditarily finite superstructures
Matematičeskie trudy, Tome 24 (2021) no. 2, pp. 160-180

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We obtain the necessary and sufficient condition for the existence of an universal $\Sigma$-function in the hereditarily finite superstructure. We show the application of this criterion to various well-known classes of structures.
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     title = {On universal functions in hereditarily finite superstructures},
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A. N. Khisamiev. On universal functions in hereditarily finite superstructures. Matematičeskie trudy, Tome 24 (2021) no. 2, pp. 160-180. http://geodesic.mathdoc.fr/item/MT_2021_24_2_a9/