Cofinitely soc-supplemented lattices
Ismael Akray, Haval M. Mohammed Salih · Journal of Zankoy Sulaimani - Part A · 2016
In this paper, we define Rad-supplemented lattice and its dual soc-supplemented lattice. Furthermore, we show that in compactly generated lattices the first one is equivalent to supplemented lattice. Also, we study some properties of soc-supplemented lattices. Finally, we define cofinitely soc-supplemented lattice (briefly css-lattice) and proved that an arbitrary join of css-lattices is a css-lattice.