Mathematical Sciences Classification System
16Pxx - Chain conditions, growth conditions, and other forms of finiteness
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16P10
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16P20Artinian rings and modules
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16P40Noetherian rings and modules
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16P50Localization and Noetherian rings [See also 16U20]
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16P60Chain conditions on annihilators and summands: Goldie-type conditions [See also 16U20], Krull dimension
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16P70Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence
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16P90Growth rate, Gelfand-Kirillov dimension
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16P99None of the above, but in this section