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math.RT 2

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2026 2

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Large silting mutation in extriangulated categories

math.RT · 2026-07-01 · unverdicted · novelty 7.0

Constructs large silting mutation in extriangulated categories admitting set-indexed (co)products and derives mutation theories for n-cosilting complexes over any ring plus infinite-dimensional n-(co)tilting modules over rings of finite global dimension.

Infinite $\tau$-tilting theory

math.RT · 2026-06-22 · unverdicted · novelty 7.0

Classifies torsion pairs via cosilting subsets in the Ziegler spectrum, reformulates as infinite τ-tilting theory, and proves results on generic bricks for tame algebras and algebras with defined Krull-Gabriel dimension.

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Showing 2 of 2 citing papers after filters.

  • Large silting mutation in extriangulated categories math.RT · 2026-07-01 · unverdicted · none · ref 3

    Constructs large silting mutation in extriangulated categories admitting set-indexed (co)products and derives mutation theories for n-cosilting complexes over any ring plus infinite-dimensional n-(co)tilting modules over rings of finite global dimension.

  • Infinite $\tau$-tilting theory math.RT · 2026-06-22 · unverdicted · none · ref 3

    Classifies torsion pairs via cosilting subsets in the Ziegler spectrum, reformulates as infinite τ-tilting theory, and proves results on generic bricks for tame algebras and algebras with defined Krull-Gabriel dimension.