Tag Archives: nakayamas lemma

Commutative Algebra 45

Posted on May 3, 2020 by limsup

Invertibility is Local In this article, we again let A be an integral domain and K its field of fractions. We continue our discussion of invertible fractional ideals of A. Proposition 1. A fractional ideal M of A is invertible if and … Continue reading →

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Commutative Algebra 34

Posted on April 22, 2020 by limsup

Nakayama’s Lemma The following is a short statement which has far-reaching applications. Since its main applications are for local rings, we will state the result in this context. Throughout this section, is a fixed local ring. Theorem (Nakayama’s Lemma). Let … Continue reading →

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