Local Characterizations of Left Noetherian Rings and Left Ideals |
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作者姓名: | 佟文廷 |
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基金项目: | The project supported by National Natural Science Foundation of China |
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摘 要: | Let R be a ring with identity, M a maximal ideal of R.Y. Lequain proved the following results in 1]: (a) R is a Noetherian ring every ideal contained in M is finitely generated. (b) R is a Dedekind domain every nonzero ideal contained in M isinvertible.
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