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PROPERTIES OF HURWITZ POLYNOMIAL AND HURWITZ SERIES RINGS
Elliott, Jesse,Kim, Hwankoo Korean Mathematical Society 2018 대한수학회보 Vol.55 No.3
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.
Properties of Hurwitz polynomial and Hurwitz series rings
Jesse Elliott,김환구 대한수학회 2018 대한수학회보 Vol.55 No.3
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.