In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or satisfy the ascending chain condition on principal ideals.
@article{bwmeta1.element.doi-10_1515_math-2017-0097,
author = {Jung Wook Lim and Dong Yeol Oh},
title = {Chain conditions on composite Hurwitz series rings},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1161-1170},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0097}
}
Jung Wook Lim; Dong Yeol Oh. Chain conditions on composite Hurwitz series rings. Open Mathematics, Tome 15 (2017) pp. 1161-1170. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0097/