Let $f : A ightarrow B$ 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 $A owtie^f J$), 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
Titolo: | Properties of chains of prime ideals in an amalgamated algebra along an ideal |
Autori interni: | |
Data di pubblicazione: | 2010 |
Rivista: | |
Handle: | http://hdl.handle.net/20.500.11769/7208 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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File | Descrizione | Tipologia | Licenza | |
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D'Anna-Fi-Fo-JPAA.pdf | Versione Editoriale (PDF) | Non specificato | Open Access Visualizza/Apri |
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