Modular lattices and algebras with straightening laws
Takayuki Hibi, Seyed Amin Seyed Fakhari
TL;DR
This paper disproves the conjecture that every modular lattice is integral, providing a counterexample or argument against this long-standing assumption.
Contribution
It presents a counterexample to the conjecture that all modular lattices are integral, challenging a previously held belief in lattice theory.
Findings
Disproved the conjecture that every modular lattice is integral.
Provided a specific counterexample or proof against the conjecture.
Challenged existing assumptions in lattice theory.
Abstract
The conjecture that every modular lattice is integral is disproved.
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