On Generalization of $\delta$-Primary Elements in Multiplicative Lattices

# Ashok V. Bingi^{1}

^{1}Department of Mathematics, St. Xavier's College (Autonomous), Mumbai, Maharashtra, India.**Abstract:** In this paper, we introduce $\phi$-$\delta$-primary elements in a compactly generated multiplicative lattice $L$ and obtain its characterizations. We prove many of its properties and investigate the relations between these structures. By a counter example, it is shown that a $\phi$-$\delta$-primary element of $L$ need not be $\delta$-primary and found conditions under which a $\phi$-$\delta$-primary element of $L$ is $\delta$-primary.

**Keywords:** Expansion function, $\delta$-primary element, $\phi$-$\delta$-primary element, 2-potent $\delta$-primary element, $n$-potent $\delta$-primary element, global property.

**Cite this article as:** Ashok V. Bingi, *On Generalization of $\delta$-Primary Elements in Multiplicative Lattices*, Int. J. Math. And Appl., vol. 9, no. 2, 2021, pp. 69-80.

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