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Physics, 09.11.2019 04:31 sirdre1982

Prove that if r is a commutative ring and n = (a) is a finitely generated ideal, where a = \{a_1,\ldots, a_n\} and each a_n is nilpotent, then n is a nilpotent ideal. deduce that if the nilradical \mathfrak{n}(r) of r is finitely generated then it is a nilpotent ideal

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Prove that if r is a commutative ring and n = (a) is a finitely generated ideal, where a = \{a_1,\ld...
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