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

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 $R\bowtie I$ is divisorial.

Cited by in corpus (5)

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• Some homological properties of an amalgamated duplication of a ring along an ideal
• When an amalgamated duplication of a ring along an ideal is quasi-Frobenius
• Gorenstein global dimension of an amalgamated duplication of a coherent ring along an ideal
• An amalgamated duplication of a ring along an ideal: the basic properties