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Local Characterizations of Left Noetherian Rings and Left Ideals
作者姓名:佟文廷
基金项目:The project supported by National Natural Science Foundation of China
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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