English

Relative coherent modules

Commutative Algebra 2020-09-01 v3

Abstract

Several authors have introduced various type of coherent-like rings and proved analogous results on these rings. It appears that all these relative coherent rings and all the used techniques can be unified. In [2], several coherent-like rings are unified. In this manuscript we continue this work and we introduce coherent-like module which also emphasizes our point of view by unifying the existed relative coherent concepts. Several classical results are generalized and some new results are given.

Keywords

Cite

@article{arxiv.1910.05550,
  title  = {Relative coherent modules},
  author = {Mostafa Amini and Arij Benkhadra and Bennis and Mohammed Hajoui},
  journal= {arXiv preprint arXiv:1910.05550},
  year   = {2020}
}