On quasi n-absorbing elements of multiplicative lattices

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 $a^{n}b\le q$ implies that either $a^n\le q$ or $a^{n-1}b\le q$. We investigate properties of this new type of elements and obtain some relations among prime, 2-absorbing, n-absorbing elements in multiplicative lattices.

7 pages