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Rings Generated by Convergence Sets of Multidimensional Complete Field. / Madunts, A. I.

In: Journal of Mathematical Sciences , Vol. 272, No. 3, 01.05.2023, p. 444-449.

Research output: Contribution to journal › Article › peer-review

Harvard

Madunts, AI 2023, 'Rings Generated by Convergence Sets of Multidimensional Complete Field', Journal of Mathematical Sciences , vol. 272, no. 3, pp. 444-449. https://doi.org/10.1007/s10958-023-06434-w

APA

Madunts, A. I. (2023). Rings Generated by Convergence Sets of Multidimensional Complete Field. Journal of Mathematical Sciences , 272(3), 444-449. https://doi.org/10.1007/s10958-023-06434-w

Vancouver

Madunts AI. Rings Generated by Convergence Sets of Multidimensional Complete Field. Journal of Mathematical Sciences . 2023 May 1;272(3):444-449. https://doi.org/10.1007/s10958-023-06434-w

Author

Madunts, A. I. / Rings Generated by Convergence Sets of Multidimensional Complete Field. In: Journal of Mathematical Sciences . 2023 ; Vol. 272, No. 3. pp. 444-449.

BibTeX

@article{d1bb477dc42d4c43bf5b41e0b376bacf,
title = "Rings Generated by Convergence Sets of Multidimensional Complete Field",
abstract = "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.",
author = "Madunts, {A. I.}",
year = "2023",
month = may,
day = "1",
doi = "10.1007/s10958-023-06434-w",
language = "English",
volume = "272",
pages = "444--449",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

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