| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4597486 | Journal of Pure and Applied Algebra | 2010 | 9 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
