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PreprintCC0arXiv

A counterexample to Enochs' conjecture under V=L

  • Chencheng Zhang
Open at sourcePDFDOICite

Abstract

Assuming the nonexistence of uncountable measurable cardinals, we construct an 𝔽2-algebra and a covering class of right modules which is not closed under colimits of countable chains. This gives a counterexample to Enochs' conjecture under V=L.

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Cite

BibTeXRIS
BibTeX
@misc{zhang2026counterexample,
  title = {{A counterexample to Enochs' conjecture under $V=L$}},
  author = {Chencheng Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25495},
  eprint = {2609.25495},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25495},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - A counterexample to Enochs' conjecture under V=L
AU  - Chencheng Zhang
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.25495
UR  - https://arxiv.org/abs/2609.25495
AB  - Assuming the nonexistence of uncountable measurable cardinals, we construct an 𝔽_2-algebra and a covering class of right modules which is not closed under colimits of countable chains. This gives a counterexample to Enochs' conjecture under V=L.
ER  -