Kyungpook Mathematical Journal

  • 제51권3호
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  • Pages.339-344
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  • 2011
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Kaplansky-type Theorems, II

  • 투고 : 2011.01.18
  • 심사 : 2011.06.24
  • 발행 : 2011.09.23
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⟨ 이전 논문 다음 논문 ⟩

초록

Let D be an integral domain with quotient field K, X be an indeterminate over D, and D[X] be the polynomial ring over D. A prime ideal Q of D[X] is called an upper to zero in D[X] if Q = fK[X] ${\cap}$ D[X] for some f ${\in}$ D[X]. In this paper, we study integral domains D such that every upper to zero in D[X] contains a prime element (resp., a primary element, a t-invertible primary ideal, an invertible primary ideal).

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과제정보

연구 과제 주관 기관 : University of Incheon, NRF

참고문헌

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피인용 문헌

  1. KAPLANSKY-TYPE THEOREMS IN GRADED INTEGRAL DOMAINS vol.52, pp.4, 2015, https://doi.org/10.4134/BKMS.2015.52.4.1253