Skip to content
DraconiticResearch
Search Sources API
182,544 studies31 sourcesUpdated 4 min ago
PreprintarXiv licencearXiv

The Köthe conjecture via point modules

Abstract

We give a short construction refuting the Köthe Conjecture. The construction is based on the point module approach to the problem, introduced by the first-named and second-named authors together with Easton and Ford.

Related

  1. A counterexample to Köthe's conjecture and a question of Rowen
    Tom Adamczewski, Bernhard Böhmler, Rene Marczinzik
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  2. Point Modules of Non-Connected Graded Algebras
    Thomas Lamkin
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  3. Generalized parabolic Demazure modules and the N!/2-conjecture for two-row diagrams
    Anton Khoroshkin, Ievgen Makedonskyi
    arXivPreprintarXiv licenceFull textAlgebra & number theoryCombinatorics & discrete mathematicsarXiv
  4. Improved bounds for the two-point logarithmic Chowla conjecture
    Cédric Pilatte
    Journal of the American Mathematical SocietyPeer-reviewedLicence not statedFull text9 citedAlgebra & number theoryOpenAlex
  5. Dynamical generalizations of the two-point Chowla conjecture
    Biao Wang, Shaoyun Yi
    arXivPreprintarXiv licenceFull textAlgebra & number theoryDynamical systemsarXiv
BibTeX
@misc{greenfeld2026köthe,
  title = {{The Köthe conjecture via point modules}},
  author = {B. Greenfeld and B. King and L. Vendramin},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.15080},
  eprint = {2609.15080},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.15080},
}
RIS
TY  - UNPB
TI  - The Köthe conjecture via point modules
AU  - B. Greenfeld
AU  - B. King
AU  - L. Vendramin
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.15080
UR  - https://arxiv.org/abs/2609.15080
AB  - We give a short construction refuting the Köthe Conjecture. The construction is based on the point module approach to the problem, introduced by the first-named and second-named authors together with Easton and Ford.
ER  -