English

On Strong $(a)$-Rings

Commutative Algebra 2009-08-11 v1

Abstract

In this paper, we introduce a strong property (A)(A) and we study the transfer of property (A)(A) and strong property (A)(A) in trivial ring extensions and amalgamated duplication of a ring along an ideal. We also exhibit a class of rings which satisfy property (A)(A) and do not satisfy strong property (A)(A).

Keywords

Cite

@article{arxiv.0908.1342,
  title  = {On Strong $(a)$-Rings},
  author = {Najib Mahdou and Aziza Rahmouni Hassani},
  journal= {arXiv preprint arXiv:0908.1342},
  year   = {2009}
}
R2 v1 2026-06-21T13:34:03.302Z