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http://dx.doi.org/10.4134/BKMS.b170300

PROPERTIES OF HURWITZ POLYNOMIAL AND HURWITZ SERIES RINGS  

Elliott, Jesse (Department of Mathematics California State University at Channel Islands)
Kim, Hwankoo (Division of Computer and Information Engineering Hoseo University)
Publication Information
Bulletin of the Korean Mathematical Society / v.55, no.3, 2018 , pp. 837-849 More about this Journal
Abstract
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;
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Times Cited By KSCI : 2  (Citation Analysis)
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