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arxiv: math/0612301 · v1 · submitted 2006-12-12 · 🧮 math.AC · math.AG

The amalgamated duplication of a ring along a multiplicative-canonical ideal

classification 🧮 math.AC math.AG
keywords idealalongamalgamatedduplicationjoinipropertiesringwhen
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After recalling briefly the main properties of the amalgamated duplication of a ring $R$ along an ideal $I$, denoted by $R\JoinI$, we restrict our attention to the study of the properties of $R\JoinI$, when $I$ is a multiplicative canonical ideal of $R$ \cite{hhp}. In particular, we study when every regular fractional ideal of $R\Join I$ is divisorial.

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