Chain conditions on composite Hurwitz series rings

Jung Wook Lim, and Dong Yeol Oh. "Chain conditions on composite Hurwitz series rings." Open Mathematics 15.1 (2017): 1161-1170. <http://eudml.org/doc/288502>.

@article{JungWookLim2017,
abstract = {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.},
author = {Jung Wook Lim, Dong Yeol Oh},
journal = {Open Mathematics},
keywords = {Composite Hurwitz series ring H(R, D); Composite Hurwitz polynomial ring h(R, D); Noetherian ring; S-Noetherian ring; Présimplifiable ring; Ascending chain condition on principal ideals},
language = {eng},
number = {1},
pages = {1161-1170},
title = {Chain conditions on composite Hurwitz series rings},
url = {http://eudml.org/doc/288502},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Jung Wook Lim
AU - Dong Yeol Oh
TI - Chain conditions on composite Hurwitz series rings
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1161
EP - 1170
AB - 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.
LA - eng
KW - Composite Hurwitz series ring H(R, D); Composite Hurwitz polynomial ring h(R, D); Noetherian ring; S-Noetherian ring; Présimplifiable ring; Ascending chain condition on principal ideals
UR - http://eudml.org/doc/288502
ER -