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 $R\bowtie I$, see M. D’Anna and M. Fontana, to appear in J. Algebra Appl., we restrict our attention to the study of the properties of $R\bowtie I$, when I is a multiplicative canonical ideal of R, see W. J. Heinzer, J. A. Huckaba and I. J. Papick, Comm. Algebra. In particular, we study when every regular fractional ideal of $R\bowtie I$ is divisorial.