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Rings Generated by Convergence Sets of Multidimensional Complete Field. / Madunts, A. I.
в: Journal of Mathematical Sciences , Том 272, № 3, 01.05.2023, стр. 444-449.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Rings Generated by Convergence Sets of Multidimensional Complete Field
AU - Madunts, A. I.
PY - 2023/5/1
Y1 - 2023/5/1
N2 - The convergence sets of a multidimensional complete field are those having the property that all power series over it converge when substituting an element of the maximal ideal for a variable. It is proved that a convergence set lies in the ring of integers if and only if it is contained in some convergence ring.
AB - The convergence sets of a multidimensional complete field are those having the property that all power series over it converge when substituting an element of the maximal ideal for a variable. It is proved that a convergence set lies in the ring of integers if and only if it is contained in some convergence ring.
UR - https://www.mendeley.com/catalogue/07431cd9-8ab5-3212-8df9-bd42f3f1505b/
U2 - 10.1007/s10958-023-06434-w
DO - 10.1007/s10958-023-06434-w
M3 - Article
VL - 272
SP - 444
EP - 449
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 3
ER -
ID: 106355284