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

Marco D'Anna·Marco Fontana
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Abstract

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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Marco D'Anna, Marco Fontana. 2006-12-12. The amalgamated duplication of a ring along a multiplicative-canonical ideal. https://doi.org/10.1007/s11512-006-0038-1

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