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  1. No Access

    Article

    \(\imath \) Hall algebras of weighted projective lines and quantum symmetric pairs II: injectivity

    We show that the morphism \(\Omega \) Ω from the

    Ming Lu, Shiquan Ruan in Mathematische Zeitschrift (2024)

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    Article

    Hall algebras of two equivalent extriangulated categories

    For any positive integer n, let An be a linearly oriented quiver of type A with n vertices. It is well-known that the quotient of an exact category by projective-injectives is an extriangulated category. We show ...

    Shiquan Ruan, Li Wang, Haicheng Zhang in Czechoslovak Mathematical Journal (2024)

  3. No Access

    Article

    Nakayama Algebras and Fuchsian Singularities

    This present paper is devoted to the study of a class of Nakayama algebras \(N_n(r)\)

    Helmut Lenzing, Hagen Meltzer, Shiquan Ruan in Algebras and Representation Theory (2024)

  4. No Access

    Article

    t-Stabilities for a weighted projective line

    The present paper focuses on the study of t-stabilities on a triangulated category in the sense of Gorodentsev, Kuleshov and Rudakov. We give an equivalent description for the finest t-stabilities on certain t...

    Shiquan Ruan, **ntian Wang in Mathematische Zeitschrift (2021)

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    Article

    Tilting objects on tubular weighted projective lines: A cluster tilting approach

    Using cluster tilting theory, we investigate tilting objects in the stable category of vector bundles on a weighted projective line of weight type (2, 2, 2, 2). More precisely, a tilting object consisting of r...

    Jianmin Chen, Yanan Lin, Pin Liu, Shiquan Ruan in Science China Mathematics (2021)

  6. No Access

    Article

    Abelianness of the “missing part” from a sheaf category to a module category

    This paper investigates the structure of the “missing part” from the category of coherent sheaves over a weighted projective line of weight type (2, 2, n) to the category of finitely generated right modules on th...

    JianMin Chen, YaNan Lin, ShiQuan Ruan in Science China Mathematics (2014)