Usually means: No infinite strictly increasing sequences.
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We found 5 dictionaries that define the word ascending chain condition:

General (2 matching dictionaries)
  1. Ascending chain condition: Wikipedia, the Free Encyclopedia
  2. ascending chain condition: Wiktionary

Computing (1 matching dictionary)
  1. ascending chain condition: Encyclopedia

Science (2 matching dictionaries)
  1. Ascending Chain Condition: Eric Weisstein's World of Mathematics
  2. ascending chain condition, ascending chain condition, ascending chain condition: PlanetMath Encyclopedia

Definitions from Wiktionary (ascending chain condition)

noun:  (algebra) A property of a partially ordered set that states that any increasing sequence of elements must eventually become constant.


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