On the second radical elements of lattice modules

N. Phadatare, V. Kharat

Let $L$ be a $C$-lattice and $M$ be a lattice module over $L$. For a non-zero element $N\in M$, join of all second elements $X$ of $M$ with $X\leq N$ is called the second radical of $N$, and it is denoted by $\sqrt[s]{N}$. In this paper, we study some properties of second radical of elements of $M$ and obtain some related results. 

Tbilisi Mathematical Journal, Vol. 11(4) (2018), 165-173