New algebraic properties of an amalgamated algebra along an ideal

Marco D'Anna, Carmelo Antonio Finocchiaro, Marco Fontana*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Let f: A → B be a ring homomorphism, and let J be an ideal of B. In this article, we study the amalgamation of A with B along J with respect to f (denoted by A ⋈fJ), a construction that provides a general frame for studying the amalgamated duplication of a ring along an ideal, introduced by D'Anna and Fontana in 2007, and other classical constructions (such as the A + XB[X], the A + XB[[X]] and the D + M constructions). In particular, we completely describe the prime spectrum of the amalgamation A ⋈fJ and, when it is a local Noetherian ring, we study its embedding dimension and when it turns to be a Cohen–Macaulay ring or a Gorenstein ring
Original languageEnglish
Pages (from-to)1836-1851
JournalCommunications in Algebra
Issue number5
Publication statusPublished - 2016
Externally publishedYes


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