TY - JOUR
T1 - Generalized composite hurwitz rings as archimedean domains
AU - Kim, Dong Kyu
AU - Lim, Jung Wook
N1 - Publisher Copyright:
© 2019 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved.
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 - http://www.scopus.com/inward/record.url?scp=85074176882&partnerID=8YFLogxK
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 -