English

Some generalizations of strongly prime ideals

Commutative Algebra 2019-08-20 v1

Abstract

In this paper, we introduce the concepts of strongly 2-absorbing primary ideals (resp., submodules) and strongly 2-absorbing ideals (resp., submodules) as generalizations of strongly prime ideals. Furthermore, we investigate some basic properties of these classes of ideals.

Keywords

Cite

@article{arxiv.1908.06744,
  title  = {Some generalizations of strongly prime ideals},
  author = {H. Ansari-Toroghy and F. Farshadifar and S. Maleki-Roudposhti},
  journal= {arXiv preprint arXiv:1908.06744},
  year   = {2019}
}
R2 v1 2026-06-23T10:50:53.514Z