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

By Marco D'anna, Marco Fontana. 2006

172 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory

View Paper: https://www.semanticscholar.org/paper/4ffbf50f133ecd3889c2f5b99915f86a882c693c

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In Algebra and Number Theory

1. C. Finocchiaro
2. Marco Fontana
3. Marco D'anna

Citations in the corpus

• Properties of chains of prime ideals in an amalgamated algebra along an ideal (2010, background): “This construction is a generalization of the amalgamated duplication of a ring along an ideal (introduced and studied in [9], [6], [10] and in [20]).”
• New Algebraic Properties of an Amalgamated Algebra Along an Ideal (2016, background): “A particular case of this type of pullback is the amalgamated duplication A I , where A is a local ring and I an ideal of A (see [12] and [13]).”