FACTOID # 51: Russia won the first World Air Games, held in Turkey in 1997. Events included hang-gliding, sky-surfing, and ballooning.
 
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Encyclopedia > Noetherian
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In mathematics, Noetherian is an adjective derived from the name of Emmy Noether, describing objects that satisfy an ascending chain condition on certain kinds of subobjects.


A Noetherian ring is a ring that satisfies the ascending chain condition on ideals.


A Noetherian module is a module that satisfies the ascending chain condition on submodules.


Emmy Noether was the first to study the ascending and descending chain conditions for rings.


  Results from FactBites:
 
Noetherian ring - Wikipedia, the free encyclopedia (474 words)
In abstract algebra, a Noetherian ring is a ring that satisfies the ascending chain condition on ideals.
The Noetherian property is central in ring theory and in areas that make heavy use of rings, such as algebraic geometry.
This early result was the first to suggest that Noetherian rings possessed a deep theory of dimension.
Noetherian - Wikipedia, the free encyclopedia (134 words)
In mathematics, Noetherian is an adjective derived from the name of Emmy Noether, describing objects that satisfy an ascending chain condition on certain kinds of subobjects.
A Noetherian ring is a ring that satisfies the ascending chain condition on ideals.
A Noetherian module is a module that satisfies the ascending chain condition on submodules.
  More results at FactBites »


 

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