Hasse Diagrams of Basic Blocks Containing Four Comparable Reducible Elements and Having Nullity Five

Abstract

In 2020, Bhavale and Waphare introduced the concepts of fundamental basic block and basic block, associated to dismantlable lattices. Further, they have provided the recursive formulae of the number of non-isomorphic fundamental basic blocks as well as basic blocks, containing $r$ comparable reducible elements and having nullity $l$. In this paper, we actually obtain the Hasse diagrams of the basic blocks containing four comparable reducible elements and having nullity five.