Coherence in amalgamated algebra along an ideal
Commutative Algebra
2013-01-15 v1
Abstract
Let be a ring homomorphism and let be an ideal of . In this paper, we investigate the transfert of the property of coherence to the amalgamation . We provide necessary and sufficient conditions for to be a coherent ring.
Keywords
Cite
@article{arxiv.1301.2716,
title = {Coherence in amalgamated algebra along an ideal},
author = {Karima Alaoui Ismaili and Najib Mahdou},
journal= {arXiv preprint arXiv:1301.2716},
year = {2013}
}