The telescope conjecture for semihereditary commutative rings
Silvana Bazzoni
TL;DR
This paper discusses the telescope conjecture in the context of semihereditary commutative rings, confirming some results but acknowledging incomplete characterization of smashing subcategories due to a mistake.
Contribution
It provides a correct result on the telescope conjecture for semihereditary rings, despite an incomplete characterization of smashing subcategories in the derived category.
Findings
Confirmed the telescope conjecture for semihereditary rings
Identified an incomplete aspect in the characterization of smashing subcategories
Acknowledged a mistake affecting the completeness of the results
Abstract
The paper has been withdrawn, since there is a mistake in Proposition 5.2. The result on the telescope conjecture for semihereditary rings is correct, but the characterization of the smashing subcategories of the derived category of commutative rings is not complete.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Rings, Modules, and Algebras