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单词 artinian
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Examples ofartinian

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An algebra over a field "k" isartinianif and only if it has finite dimension.
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Artinianserial ring structure is classified in cases depending on the quiver structure.
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Rings such as the ring of integers are semiprimitive, and anartiniansemiprimitive ring is just a semisimple ring.
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In a rightartinianring, any nil ideal is nilpotent.
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A ring is semisimple if and only if it isartinianand is semiprimitive.
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These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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更新时间：2025/9/24 19:22:35