2-absorbing delta-primary elements in multiplicative lattices

Document Type: Research Paper

Authors

1 Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad.

2 Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad

Abstract

In this paper, we define a 2-absorbing $\delta$-primary element and a weakly 2-absorbing $\delta$-primary element in a compactly generated multiplicative lattice $L$. We obtain some properties of these elements. We give a characterization for 2-absorbing $\delta$-primary elements. Also we define a $\delta$-triple-zero and a free $\delta$-triple-zero and prove some results on it.

Keywords