Artinian ring


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Artinian ring

[ar¦tin·ē·ən ′riŋ]
(mathematics)
A ring is Artinian on left ideals (or right ideals) if every descending sequence of left ideals (or right ideals) has only a finite number of distinct members.
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of Wisconsin- Madison) also includes coverage of rarer subjects in this field, including transcendental field extensions, modules over Dedekind domains and artinian rings.