在交换代数中,中山引理是相当有用的一个技术工具。
陈述
它的众多等价陈述之一如下:
推论
- 推论一。在上述条件下,若包含于的Jacobson根,则必然有。
- 推论二. 若是的子模,且存在有限生成的的子模及包含于的Jacobson根的理想,使得,则。
文献
- Atiyah, M.F. and Macdonald, I.G(1969). Introduction to Commutative Algebra. Addison-Wesley, Reading, MA.
- Matsumura H., Commutative Algebra, 2nd ed. Benjamin/Cummings, 1980.
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