Going up and going down
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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Going up and going down
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.
has abstract
Die Sätze von Cohen-Seidenberg ...... l-Ketten in Ringerweiterungen.
@de
In commutative algebra, a bran ...... ng-up and going-down theorems.
@en
数学の分野である可換環論において、上昇 (going up) ...... going-down theorem) として知られている。
@ja
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740,492,618
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Die Sätze von Cohen-Seidenberg ...... l-Ketten in Ringerweiterungen.
@de
In commutative algebra, a bran ...... ng-up and going-down theorems.
@en
数学の分野である可換環論において、上昇 (going up) ...... going-down theorem) として知られている。
@ja
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Going up and going down
@en
Sätze von Cohen-Seidenberg
@de
上昇と下降
@ja