Let f:A→B be a ring homomorphism and let J be an ideal of B. In
this paper, 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
and studied 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 amalgamated
duplication and we give bounds for its Krull dimension.Comment: J. Pure Appl. Algebra (to appear