An amalgamated duplication of a ring along an ideal: the basic properties
| dc.creator | D'Anna, Marco | |
| dc.creator | Fontana, Marco | |
| dc.date | 2006-05-23 | |
| dc.date | 2007-06-04 | |
| dc.date.accessioned | 2026-07-07T08:07:50Z | |
| dc.date.available | 2026-07-07T08:07:50Z | |
| dc.description | We introduce a new general construction, denoted by $R\JoinE$, called the amalgamated duplication of a ring $R$ along an $R$--module $E$, that we assume to be an ideal in some overring of $R$. (Note that, when $E^2 =0$, $R\JoinE$ coincides with the Nagata's idealization $R\ltimes E$.) After discussing the main properties of the amalgamated duplication $R\JoinE$ in relation with pullback--type constructions, we restrict our investigation to the study of $R\JoinE$ when $E$ is an ideal of $R$. Special attention is devoted to the ideal-theoretic properties of $R\JoinE$ and to the topological structure of its prime spectrum. | |
| dc.description | Replace a previous version. Journal of Algebra and Applications (to appear) | |
| dc.identifier | https://arxiv.org/abs/math/0605602 | |
| dc.identifier | http://arxiv.org/abs/math/0605602 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131065 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A15; 13B99; 14A05 | |
| dc.title | An amalgamated duplication of a ring along an ideal: the basic properties | |
| dc.type | text |