On multiplicative generators of commutative rings (Q1583914)

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scientific article; zbMATH DE number 1523497
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English
On multiplicative generators of commutative rings
scientific article; zbMATH DE number 1523497

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    On multiplicative generators of commutative rings (English)
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    3 May 2001
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    The author proves that all the classes of subrings of multiplicatively \(n\)-generated commutative rings are different. He also shows that there exist very simple nilpotent commutative \(n\)-generated rings not embedded in a commutative ring multiplicatively \(n-1\)-generated.
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    multiplicatively finitely generated rings
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    nilpotent commutative rings
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    commutative semigroups
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    numbers of generators
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