Hasse diagrams of basic blocks containing four comparable reducible elements and having nullity four

In $2020$, Bhavale and Waphare introduced the concepts of fundamental basic block and basicblock, associated to dismantlable lattices.Further, they have provided the recursive formulae of the number of non-isomorphic fundamental basicblocks 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 fourcomparable reducible elements and having nullity four.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-04-22
DOI
https://doi.org/10.5281/zenodo.15261293
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00
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article

Hasse diagrams of basic blocks containing four comparable reducible elements and having nullity four

Zenodo (CERN European Organization for Nuclear Research)
Advanced Algebra and Logic
article

Hasse diagrams of basic blocks containing four comparable reducible elements and having nullity four

article en

Abstract

In $2020$, Bhavale and Waphare introduced the concepts of fundamental basic block and basicblock, associated to dismantlable lattices.Further, they have provided the recursive formulae of the number of non-isomorphic fundamental basicblocks 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 fourcomparable reducible elements and having nullity four.

Zenodo (CERN European Organization for Nuclear Research)
G.S. Science, Arts And Commerce College (IN)
Openalex Percentile: Top 49%
Advanced Algebra and Logic
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Hasse diagrams of basic blocks containing four comparable reducible elements and having nullity four · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS