English

Rings with finite n-Weak injective dimension and (n,k)-Weak cotorsion modules

Commutative Algebra 2021-06-15 v2

Abstract

Let R be a ring and n,k be two non-negative integers. As an extension of several known notions, we introduce and study (n,k)-weak cotorsion modules using the class of right R-modules with n-weak flat dimensions at most k. Various examples and applications are also given.

Keywords

Cite

@article{arxiv.2105.00413,
  title  = {Rings with finite n-Weak injective dimension and (n,k)-Weak cotorsion modules},
  author = {Mostafa Amini and Houda Amzil and Driss Bennis},
  journal= {arXiv preprint arXiv:2105.00413},
  year   = {2021}
}