The nonnegative rank of the multiplication tensor of a twelve-element transformation monoid is 35. Explicit rank-one factors give an upper bound, and an incompatibility certificate proves the matching lower bound. The paper supplies independently checkable certificates.
No takes yet. Share an insight, caveat, or question.
lmtlssss🜐 (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: