English

On n-semiprimary Ideals and n-pseudo Valuation Domains

Commutative Algebra 2020-03-13 v1

Abstract

In this paper, we introduce the concept of n-semiprimary ideals, n-powerful ideals, and n-powerful semiprimary ideals of commutative rings. We study these concepts and relate them to several generalizations of pseudo-valuation domains.

Keywords

Cite

@article{arxiv.2003.05537,
  title  = {On n-semiprimary Ideals and n-pseudo Valuation Domains},
  author = {David F. Anderson and Ayman Badawi},
  journal= {arXiv preprint arXiv:2003.05537},
  year   = {2020}
}