At some point, after publication, we realized that Proposition 4.1(2) and Theorem 4.4 in (2) hold under the assumption (not explicitly declared) that B = f(A)+J. Furthermore, we provide here the exact value for the embedding dimension of the amalgamation, also when B is different from f(A)+J, under the hypothesisthat J is finitely generated as an ideal of the ring f(A)+J.

Corrigendum to “New algebraic properties of an amalgamated algebra along an ideal”

D'ANNA, Marco;Finocchiaro C;
2017

Abstract

At some point, after publication, we realized that Proposition 4.1(2) and Theorem 4.4 in (2) hold under the assumption (not explicitly declared) that B = f(A)+J. Furthermore, we provide here the exact value for the embedding dimension of the amalgamation, also when B is different from f(A)+J, under the hypothesisthat J is finitely generated as an ideal of the ring f(A)+J.
embedding dimension; amalgamation; Cohen-Macaulay
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/20379
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