A precise result on the arithmetic of non-principal orders in algebraic number fields

Andreas Philipp

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arXiv · 1104.3971

A precise result on the arithmetic of non-principal orders in algebraic number fields

Andreas Philipp

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Abstract

Let $R$ be an order in an algebraic number field. If $R$ is a principal order, then many explicit results on its arithmetic are available. Among others, $R$ is half-factorial if and only if the class group of $R$ has at most two elements. Much less is known for non-principal orders. Using a new semigroup theoretical approach, we study half-factoriality and further arithmetical properties for non-principal orders in algebraic number fields.

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Andreas Philipp. 2011-04-20. A precise result on the arithmetic of non-principal orders in algebraic number fields. https://arxiv.org/abs/1104.3971

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