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PreprintCC BY 4.0arXiv

Idempotent radicals and factorization systems

Abstract

Idempotent (hereditary/cohereditary) (pre)radicals on the category of left modules over an associative ring with unity are described in terms of factorization systems. For radicals of the aforementioned kind, this is done in two different ways.

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BibTeX
@misc{zangurashvili2026idempotent,
  title = {{Idempotent radicals and factorization systems}},
  author = {Dali Zangurashvili},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.34969},
  eprint = {2610.34969},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.34969},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Idempotent radicals and factorization systems
AU  - Dali Zangurashvili
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.34969
UR  - https://arxiv.org/abs/2610.34969
AB  - Idempotent (hereditary/cohereditary) (pre)radicals on the category of left modules over an associative ring with unity are described in terms of factorization systems. For radicals of the aforementioned kind, this is done in two different ways.
ER  -