Amalgamated algebras along an ideal
| dc.creator | D'Anna, Marco | |
| dc.creator | Finocchiaro, Carmelo Antonio | |
| dc.creator | Fontana, Marco | |
| dc.date | 2009-01-13 | |
| dc.date.accessioned | 2026-07-07T12:28:55Z | |
| dc.date.available | 2026-07-07T12:28:55Z | |
| dc.description | Let $f:A \to B$ be a ring homomorphism and $J$ an ideal of $B$. In this paper, we initiate a systematic study of a new ring construction called the "amalgamation of $A$ with $B$ along $J$ with respect to $f$". This construction finds its roots in a paper by J.L. Dorroh appeared in 1932 and 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 $A+ XB[X]$ and $A+ XB[[X]]$ constructions, the CPI-extensions of Boisen and Sheldon, the $D+M$ constructions and the Nagata's idealization. | |
| dc.description | Proceedings of the Fifth International Fez Conference on Commutative Algebra and Applications, 2008, W. de Gruyter (accepted for publication) | |
| dc.identifier | https://arxiv.org/abs/0901.1742 | |
| dc.identifier | http://arxiv.org/abs/0901.1742 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215703 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13B99, 13E05, 13F20, 14A05 | |
| dc.title | Amalgamated algebras along an ideal | |
| dc.type | text |