Geodesic
Construction of convergence rings of a multidimensional complete field
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 139-146

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A criterion for the admissibility of a minimal monoid containing a given allowable set of multiindices is proved. In addition, an algorithm for constructing a convergence ring of a multidimensional complete field containing a given convergence set is proposed. 
@article{ZNSL_2022_513_a9,
     author = {A. I. Madunts},
     title = {Construction of convergence rings of a multidimensional complete field},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {139--146},
     publisher = {mathdoc},
     volume = {513},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a9/}
}
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A. I. Madunts. Construction of convergence rings of a multidimensional complete field. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 139-146. http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a9/