Geodesic
Rings generated by convergence sets of a multidimensional complete field
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 37, Tome 500 (2021), pp. 149-157 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we study the convergence sets of a multidimensional complete field, that is, a set with the property that all power series over it converge when substituting an element of the maximal ideal for a variable. In particular, it is proved that the convergence set lies in the ring of integers if and only if it is contained in some convergence ring. 
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     author = {A. I. Madunts},
     title = {Rings generated by convergence sets of a multidimensional complete field},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_500_a6/}
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A. I. Madunts. Rings generated by convergence sets of a multidimensional complete field. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 37, Tome 500 (2021), pp. 149-157. http://geodesic.mathdoc.fr/item/ZNSL_2021_500_a6/

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