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ascending chain condition

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ascending chain condition

[ə‚sen·diŋ ′chān kən‚dish·ən]
(mathematics)
The condition on a ring that every ascending sequence of left ideals (or right ideals) has only a finite number of distinct members.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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