在交換代數中,中山引理是相當有用的一個技術工具。
陳述
它的眾多等價陳述之一如下:
推論
- 推論一。在上述條件下,若包含於的Jacobson根,則必然有。
- 推論二. 若是的子模,且存在有限生成的的子模及包含於的Jacobson根的理想,使得,則。
文獻
- 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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