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

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

2006-12-12

arxiv.org/abs/math/0612301v1

Mathematics

Commutative Algebra

Scientific paper

10.1007/s11512-006-0038-1

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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