Journal of the Ramanujan Mathematical Society
Volume 36, Issue 4, December 2021 pp. 301–307.
Frankl's conjecture and lattices derived from reduced
semigroups
Authors:
Vinayak Joshi
Author institution:Department of Mathematics, Savitribai Phule Pune University, Pune 411 007, Maharashtra, India
Summary:
In this paper, we prove Frankl's Conjecture for the class of
lattices (a subclass of 0-distributive lattices) derived from
reduced semigroups, which satisfies the annihilator condition. A
new conjecture is introduced for the class of 0-distributive
lattices which implies Frankl's Conjecture. Also, we observe that
the class of multiplicative lattices also satisfies Frankl's
Conjecture.
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