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


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Authors

  • Ashok V. Bingi Department of Mathematics, St. Xavier's College (Autonomous), Mumbai, Maharashtra, India

Keywords:

expansion function, $\delta$-primary element, $\phi$-$\delta$-primary element, 2-potent $\delta$-primary element, $n$-potent $\delta$-primary element, global property

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.

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Published

15-06-2021

How to Cite

Ashok V. Bingi. (2021). On Generalization of $\displaystyle\delta$-Primary Elements in Multiplicative Lattices. International Journal of Mathematics And Its Applications, 9(2), 69–80. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/67

Issue

Section

Research Article