English

Uniformly 2-absorbing primary ideals of commutative rings

Commutative Algebra 2015-05-26 v1

Abstract

In this study, we introduce the concept of "uniformly 2-absorbing primary ideals" of commutative rings, which imposes a certain boundedness condition on the usual notion of 2-absorbing primary ideals of commutative rings. Then we investigate some properties of uniformly 2-absorbing primary ideals of commutative rings with examples. Also, we investigate a specific kind of uniformly 2-absorbing primary ideals by the name of "special 2-absorbing primary ideals".

Keywords

Cite

@article{arxiv.1505.06412,
  title  = {Uniformly 2-absorbing primary ideals of commutative rings},
  author = {Hojjat Mostafanasab and Unsal Tekir and Gulsen Ulucak},
  journal= {arXiv preprint arXiv:1505.06412},
  year   = {2015}
}

Comments

15 pages