Some chain conditions in pullbacks

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• 作者：Mohamed Jaouhar Ben Abdallah (1)
  No?men Jarboui (2) (3)
  
• 关键词：C ; ring ; Pullback ; Altitude formula ; Transcendence degree ; Primary 13B02 ; Secondary 13C15 ; 13A17 ; 13A18 ; 13B25 ; 13E05
• 刊名：Monatshefte f眉r Mathematik
• 出版年：2010
• 出版时间：August 2010
• 年：2010
• 卷：161
• 期：1
• 页码：1-14
• 全文大小：188KB
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• 作者单位：Mohamed Jaouhar Ben Abdallah (1)
  No?men Jarboui (2) (3)
  
  1. Nabeul Preparatory Engineering Institute, 8000, Nabeul, Tunisia
  2. Department of Mathematics, Faculty of Science of Sfax, P. O. Box 1171, 3000, Sfax, Tunisia
  3. Department of Mathematics, Faculty of Science, King Faisal University, P. O. Box 380, 31982, Al-Hassa, Kingdom of Saudi Arabia
  
• ISSN：1436-5081

文摘

The main purpose of this paper is to study when a (T, I, D) construction ring is a C-ring in the sense of Echi (Port Math 50:277-95, 1993) where I is not necessarily a maximal ideal of T. This study allows us to generalize some results proved in Echi (Port Math 50:13-3, 1994) and to give new examples of C-rings.