Tag Archives: dedekind domains

Commutative Algebra 47

Minkowski Theory: Introduction Suppose is a finite extension and is the integral closure of in K. In algebraic number theory, there is a classical method by Minkowski to compute the Picard group of (note: in texts on algebraic number theory, this … Continue reading

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Commutative Algebra 46

Properties of Dedekind Domains Throughout this article, A denotes a Dedekind domain. Proposition 1. Every fractional ideal of A can be written as where each is a maximal ideal. The expression is unique up to permutation of terms. Note In … Continue reading

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Commutative Algebra 45

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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