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- Going_up_and_going_down abstract "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.".
- Going_up_and_going_down wikiPageID "2083445".
- Going_up_and_going_down wikiPageRevisionID "595921404".
- Going_up_and_going_down hasPhotoCollection Going_up_and_going_down.
- Going_up_and_going_down subject Category:Commutative_algebra.
- Going_up_and_going_down subject Category:Ideals.
- Going_up_and_going_down subject Category:Prime_ideals.
- Going_up_and_going_down subject Category:Theorems_in_algebra.
- Going_up_and_going_down comment "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.".
- Going_up_and_going_down label "Going up and going down".
- Going_up_and_going_down label "Sätze von Cohen-Seidenberg".
- Going_up_and_going_down sameAs Sätze_von_Cohen-Seidenberg.
- Going_up_and_going_down sameAs m.06l0__.
- Going_up_and_going_down sameAs Q2379132.
- Going_up_and_going_down sameAs Q2379132.
- Going_up_and_going_down wasDerivedFrom Going_up_and_going_down?oldid=595921404.
- Going_up_and_going_down isPrimaryTopicOf Going_up_and_going_down.