대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제55권3호
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  • Pages.837-849
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  • 2018
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2017.04.04
  • 심사 : 2017.09.14
  • 발행 : 2018.05.31
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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.

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참고문헌

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