English

On quasi n-absorbing elements of multiplicative lattices

Rings and Algebras 2016-04-05 v1

Abstract

In this study, we introduce the concept of quasi n-absorbing elements of multiplicative lattices. A proper element q is said to be a quasi n-absorbing element of L if whenever anbqa^nb\le q implies that either anqa^n\le q or an1bqa^{n-1}b\le q. We investigate properties of this new type of elements and obtain some relations among prime, 2-absorbing, n-absorbing elements in multiplicative lattices.

Keywords

Cite

@article{arxiv.1604.00856,
  title  = {On quasi n-absorbing elements of multiplicative lattices},
  author = {Ece Yetkin Celikel},
  journal= {arXiv preprint arXiv:1604.00856},
  year   = {2016}
}

Comments

7 pages