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PreprintCC0arXiv

A nontopological triangulated category which is θ-dg enhanced

  • Chencheng Zhang
Open at sourcePDFDOICite

Abstract

For every nonzero commutative ring R and infinite cardinal θ, we construct a nontopological triangulated category over R, whose thick subcategories generated by <θ objects admit R-linear dg enhancements, while the scalar action of R is faithful.

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Cite

BibTeXRIS
BibTeX
@misc{zhang2026nontopological,
  title = {{A nontopological triangulated category which is $θ$-dg enhanced}},
  author = {Chencheng Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.25198},
  eprint = {2610.25198},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.25198},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - A nontopological triangulated category which is θ-dg enhanced
AU  - Chencheng Zhang
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.25198
UR  - https://arxiv.org/abs/2610.25198
AB  - For every nonzero commutative ring R and infinite cardinal θ, we construct a nontopological triangulated category over R, whose thick subcategories generated by <θ objects admit R-linear dg enhancements, while the scalar action of R is faithful.
ER  -