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  • Update Regarding Multitracks + Registration

    It's clear that this thread needs some love and attention. A lot of the links have either expired or been miss-labelled. With the amount of tracks there are, this is quite a practice. I have made the decision to lock this thread from further replies and to put out this notice that I will be refreshing this thread with updated links and guidance where needed.

    I will update the thread on multitracks and the first post with any forth coming updates about this in due course. For information - I have also disabled user registrations to do some tidyup. Stay tuned.

going

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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