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Composite Hurwitz Rings Satisfying the Ascending Chain Condition on Principal Ideals
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초록
Let $D \subseteq E$ be an extension of integral domains with characteristic zero, $I$ be a nonzero proper ideal of $D$ and
Abstract
Let $D \subseteq E$ be an extension of integral domains with characteristic zero, $I$ be a nonzero proper ideal of $D$ and
참고문헌 (6)
- A. Benhissi, "Basic properties of Hurwitz series rings", Ric. mat., 61, pp.255~273 (2012)
- "Comm. Algebra", 2000, 1125~1139
- W. F. Keigher, "On the ring of Hurwitz series", Comm. Algebra, 25, pp.1845~1859 (1997)
- J. W. Lim, "Chain conditions in special pullbacks", C. R. Math. Acad. Sci. Paris, 350, pp.655~659 (2012)
- J. W. Lim, "The ascending chain condition on principal ideals in com-posite generalized power series rings, submitted", ~
관련 논문AI추천
Generalized composite Hurwitz rings as Archimedean domains김동규, 임정욱장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제3호COMPOSITE HURWITZ RINGS AS ARCHIMEDEAN RINGS임정욱영남수학회 · East Asian Mathematical Journal2017 · 제33권 제3호Factorization properties on the composite Hurwitz rings오동렬강원경기수학회 · 한국수학논문집2024 · 제32권 제1호Domains with invertible-radical factorizationMalik Tusif Ahmed, Tiberiu Dumitrescu대한수학회 · 대한수학회보2018 · 제55권 제3호Krull dimension of Hurwitz polynomial rings over Pr\"ufer domainsLe Thi Ngoc Giau, Phan Thanh Toan대한수학회 · 대한수학회보2018 · 제55권 제2호On integral domains in which every ascending chain on principal ideals is S-stationaryAhmed Hamed, Hwankoo Kim대한수학회 · 대한수학회보2020 · 제57권 제5호
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