Noether环的几点注记

Some Remarks on Noetherian Rings

中文关键词:  特征模  内射模  平坦模  环

英文关键词:character module  injective module  flat module  ring.

中文摘要:

      本文利用特征模给出了Ｎｏｅｔｈｅｒ环的一些充分必要条件，并由此讨论了Ｎｏｅｔｈｅｒ环上的内射模与平坦模的一些性质

英文摘要:

      In this paper, we obtain a necessary and sufficient conditions for a ring to be a Noetherian ring, using the character modules. The properties of injective and flat modules over Noetherian ring are discussed.