Idempotent radicals and factorization systems

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.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-26
DOI
https://doi.org/10.48550/arxiv.2610.34969
Primary Topic
Rings, Modules, and Algebras
Type
preprint
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preprint

Idempotent radicals and factorization systems

Dali Zangurashvili
1 links
arXiv (Cornell University)
Rings, Modules, and Algebras
preprint

Idempotent radicals and factorization systems

Dali Zangurashvili
preprint en

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.

arXiv (Cornell University)
Rings, Modules, and Algebras
DOIOpen Access PDFOpenAlex
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Idempotent radicals and factorization systems — Dali Zangurashvili · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS