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In commutative algebra, a branch of mathematics, going up and going down are terms which refer to certain properties of chains of prime ideals in integral extensions.
The phrase going up refers to the case when a chain can be extended by "upward inclusion", while going down refers to the case when a chain can be extended by "downward inclusion".
The major results are the Cohen–Seidenberg theorems, which were proved by Irvin S. Cohen and Abraham Seidenberg. These are known as the going-up and going-down theorems.

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  1. C

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  2. R

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  3. W

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  4. I

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  5. C

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  6. Dan

    Weekly Business Update Thread - Let us know how it's going please. :)

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  7. L

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  8. Steve weightman

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  9. Lou

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  10. Inverness

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  11. J

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  12. Dan

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  13. PolypipeOverlay

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  14. N

    New boiler; heating working but hot water in shower going off in 10 mins

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  15. D

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  16. S

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  17. A

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  18. K

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  19. H

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  20. B

    Hello.. Plumber, going back on the tools??

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