Bulletin of the
Korean Mathematical Society
BKMS
Article
ALL ARTICLES
View
Bull. Korean Math. Soc. 2018; 55(3): 837-849
Online first article March 9, 2018 Printed May 31, 2018
https://doi.org/10.4134/BKMS.b170300
Copyright © The Korean Mathematical Society.
Properties of Hurwitz polynomial and Hurwitz series rings
Jesse Elliott, Hwankoo Kim
California State University at Channel Islands, Hoseo University
In this paper, we study the closedness such as seminomality and $t$-closedness, and Noetherian-like properties such as piecewise Noetherianness and Noetherian spectrum, of Hurwitz polynomial rings and Hurwitz series rings. To do so, we construct an isomorphism between a Hurwitz polynomial ring (resp., a Hurwitz series ring) and a factor ring of a polynomial ring (resp., a power series ring) in a countably infinite number of indeterminates.
Keywords: Hurwitz series ring, $t$-closed, seminormal, weakly normal, piecewise Noetherian ring, Noetherian spectrum
MSC numbers: Primary 13F20, 13F25; Secondary 13A15, 13B21, 13E99
Article Tools
Stats or Metrics
Share this article on :
Related articles in BKMS
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd