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Properties of Hurwitz polynomial and Hurwitz series rings

김환구|Jesse Elliott
대한수학회 (The Korean Mathematical Society)|2018.05|대한수학회보 (Bulletin of the KMS)|제55권 제3호|pp. 837-849

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참고문헌

키워드

Hurwitz series ring$t$-closedseminormalweakly normalpiecewise Noetherian ringNoetherian spectrum
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초록

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.

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.

참고문헌 (33)

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