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Krull Dimension of a Completion

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한국수학교육학회|2004.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제11권 제1호|pp. 23-27

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Abstract

We calculate dimA^ which is a completion of a Noetherian ring A with respect to I-adic topology. We do not use localization but power series techniques.

참고문헌 (12)

  1. "Krull dimension in power series rings"
  2. "Power series rings over Prufer domains" (1973)
  3. "Power series rings over discrete valuation rings" (1981)
  4. "Power series rings with ？" (1982), Indiana Univ
  5. "Introduction to commutative algebra" (1969), Addison-WesleyPublishing Co
  6. "Power series over commutative rings Lecture Notes in Pure and AppliedMathematics" (1981), Inc
  7. "Translated from the French", chapters 1, Springer-Verlag
  8. "Topics in m-adic topologies", Springer-Verlag
  9. "A localization of a power series ring over a valuation domain", 140(2), pp.107~124 (1999)
  10. "Completion of a Prufer domain", 140(2), pp.125~135 (1999)
  11. "On Mockor's question", 216(2), pp.481~510 (1999)
  12. "Interscience Publishers a division of John Wiley & Sons NewYork-London" (1962)

관련 논문AI추천

$\Pi$-coherent dimensions and $\Pi$-coherent ringsLixin Mao대한수학회 · 대한수학회지2007 · 제44권 제3호A Note on Types of Noetherian Local RingsKisuk Lee대한수학회 · 대한수학회보2002 · 제39권 제4호On types of Noetherian local rings and modules이기석대한수학회 · 대한수학회지2007 · 제44권 제4호Weakly Krull and Related Pullback Domains장규환한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제2호Equidimensional local rings with finite Cousin cohomology modulesAlireza Vahidi대한수학회 · 대한수학회논문집2018 · 제33권 제4호Idealizers, Complete Integral Closures and Almost Pseudo-valuation DomainsMitsuo Kanemitsu, Nobuharu Onoda, Ryuki Matsuda, Takasi Sugatani경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호

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