On quasi n-absorbing elements of multiplicative lattices

preprint2016arXivOpen access

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 anb≤qa^nb\le q implies that either an≤qa^n\le q or an−1b≤qa^{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.

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