Exact Nonnegative Rank of a Twelve-State Composition Tensor

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.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-27
DOI
https://doi.org/10.5281/zenodo.23678772
Primary Topic
Tensor decomposition and applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Exact Nonnegative Rank of a Twelve-State Composition Tensor

lmtlssss🜐
2 links
Zenodo (CERN European Organization for Nuclear Research)
Tensor decomposition and applications
preprint

Exact Nonnegative Rank of a Twelve-State Composition Tensor

lmtlssss🜐
preprint en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Tensor decomposition and applications
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
Exact Nonnegative Rank of a Twelve-State Composition Tensor — lmtlssss🜐 · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS