Frankl's Conjecture for a subclass of semimodular lattices

In this paper, we prove Frankl's Conjecture for an upper semimodular lattice $L$ such that $|J(L)\setminus A(L)| \leq 3$, where $J(L)$ and $A(L)$ are the set of join-irreducible elements and the set of atoms respectively. It is known that the class of planar lattices is contained in the class o...

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Bibliographic Details
Main Authors: Vinayak Joshi, Baloo Waphare
Format: Article
Language:English
Published: Shahid Beheshti University 2019-07-01
Series:Categories and General Algebraic Structures with Applications
Subjects:
Online Access:https://cgasa.sbu.ac.ir/article_85730_335445da865e1a5e147830cee5b78a6e.pdf