期刊文献+

Noether环的同调维数

THE HOMOLOGICAL DIMENSIONS OF NOETHERIAN RINGS
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摘要 本文首次引进了一个比忠实平坦模更广泛的模类--有限忠实模,利用它我们对环的同调维数进行了估计. In this paper, we introduce the concept of f.g.faithful module, and discussthe relations between global dimensions of two related rings.
作者 顾艳红
出处 《南京大学学报(数学半年刊)》 CAS 2005年第2期262-267,共6页 Journal of Nanjing University(Mathematical Biquarterly)
关键词 有限忠实模 NOETHER环 f.g.faithful module, Noetherian ring
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参考文献6

  • 1Barbara Cortzen. Finitistic Dimensions of Ring Extensions. Comm. Algebra, 1982, 10(9): 993-1001.
  • 2Burgess W D and Menal P. On Strongly π-Regular Ring and Homomorphism into Them. Comm.Algebra, 1998, 16(8): 1701-1725.
  • 3McCnnell J and Robson J. Noncommutative Noetherian Rings. Jahn Wily and Sons, New York,1998.
  • 4Rotmann J J. An Introduction to Homological Algebra. New York: Academic Press, 1979.
  • 5Tong W T. An Introduction to Homological Algebra. High Education Press, 1998.
  • 6Yang J H. The Homology on the Residue Rings. Df. Degree' thesis of Nanjing University, 2000,6.

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