arXiv (All)
open access
Balanced pairs, virtually Gorenstein rings, and cotorsion torsion triples
For any ring $R$, we investigate balanced pairs of classes of modules and their relations to cotorsion triples. We characterize the special balanced pairs that fit into complete hereditary cotorsion triples. As an application, we prove that Gorenstein projective and Gorenstein injective modules form
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Gorenstein cotorsion pairs induced by balanced pairs#1115685
- Construction of $n$-cotorsion pairs in some abelian categories#925644
- Koszul cohomology of Čech cohomology modules#1084326
- Quillen equivalence for chain homotopy categories induced by balanced pairs#158671
- Frobenius functors and $n$-torsionfree objects#1061177
Record · ID 1144762
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive