Generalized composite hurwitz rings as archimedean domains

Dong Kyu Kim; Jung Wook Lim

doi:10.17777/pjms2019.22.3.499

Generalized composite hurwitz rings as archimedean domains

Dong Kyu Kim
, Jung Wook Lim

Kyungpook National University

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

1 Scopus citations

Abstract

Let V = (D_n)_n>o be an ascending chain of integral domains with characteristic zero, X = (I_n)_n≥ an ascending chain of nonzero proper ideals of D₀, and H(D) and H (D₀, T) (respectively, h(D) and h(D₀,I)) the generalized composite Hurwitz series rings (respectively, generalized composite Hurwitz polynomial rings). In this article, we give equivalent conditions for the rings H(P), h(P), H(D₀,I) and h(D₀,I) to be Archimedean domains.

Original language	English
Pages (from-to)	499-506
Number of pages	8
Journal	Proceedings of the Jangjeon Mathematical Society
Volume	22
Issue number	3
DOIs	https://doi.org/10.17777/pjms2019.22.3.499
State	Published - 2019

Keywords

Archimedean domain
Generalized composite Hurwitz polynomial ring
Generalized composite Hurwitz series ring

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10.17777/pjms2019.22.3.499

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abstract = "Let V = (Dn)n>o be an ascending chain of integral domains with characteristic zero, X = (In)n≥ an ascending chain of nonzero proper ideals of D0, and H(D) and H (D0, T) (respectively, h(D) and h(D0,I)) the generalized composite Hurwitz series rings (respectively, generalized composite Hurwitz polynomial rings). In this article, we give equivalent conditions for the rings H(P), h(P), H(D0,I) and h(D0,I) to be Archimedean domains.",

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TY - JOUR

T1 - Generalized composite hurwitz rings as archimedean domains

AU - Kim, Dong Kyu

AU - Lim, Jung Wook

PY - 2019

Y1 - 2019

N2 - Let V = (Dn)n>o be an ascending chain of integral domains with characteristic zero, X = (In)n≥ an ascending chain of nonzero proper ideals of D0, and H(D) and H (D0, T) (respectively, h(D) and h(D0,I)) the generalized composite Hurwitz series rings (respectively, generalized composite Hurwitz polynomial rings). In this article, we give equivalent conditions for the rings H(P), h(P), H(D0,I) and h(D0,I) to be Archimedean domains.

AB - Let V = (Dn)n>o be an ascending chain of integral domains with characteristic zero, X = (In)n≥ an ascending chain of nonzero proper ideals of D0, and H(D) and H (D0, T) (respectively, h(D) and h(D0,I)) the generalized composite Hurwitz series rings (respectively, generalized composite Hurwitz polynomial rings). In this article, we give equivalent conditions for the rings H(P), h(P), H(D0,I) and h(D0,I) to be Archimedean domains.

KW - Archimedean domain

KW - Generalized composite Hurwitz polynomial ring

KW - Generalized composite Hurwitz series ring

UR - https://www.scopus.com/pages/publications/85074176882

U2 - 10.17777/pjms2019.22.3.499

DO - 10.17777/pjms2019.22.3.499

M3 - Article

AN - SCOPUS:85074176882

SN - 1598-7264

VL - 22

SP - 499

EP - 506

JO - Proceedings of the Jangjeon Mathematical Society

JF - Proceedings of the Jangjeon Mathematical Society

IS - 3

ER -

Generalized composite hurwitz rings as archimedean domains

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Keywords

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