Qikai Wang

activity

20242026

collaborators

5 papers

math.RA2026

Frobenius extensions about centralizer matrix algebras

Qikai Wang, Haiyan Zhu

This paper investigates the conditions under which the centralizer algebra $S_{n} (c, R)$ of a matrix $c \in M_{n} (R)$ is a (separable) Frobenius extension of the base algebra $R$ . For a…

math.KT2026

Intersection of complete cotorsion pairs

Qikai Wang, Haiyan Zhu

Given two (hereditary) complete cotorsion pairs $(X_{1}, Y_{1})$ and $(X_{2}, Y_{2})$ in an exact category with $X_{1} \subseteq Y_{2}$ …

math.CT2026

Construction of ideal cotorsion pairs via recollements of triangulated categories

Qikai Wang, Haiyan Zhu

Let $(T^{'}, T, T^{''})$ be a recollement of triangulated categories.A complete ideal cotorsion pair in $T$ induces complete ideal cotorsion pairs i…

math.CT2025

Ideal approximation theory in Frobenius categories

Dandan Sun, Zhongsheng Tan, Qikai Wang +1

Let $A$ be a Frobenius category and $I ¨ $ the full subcategory consisting of projective objects. The relations between special precovering (resp., precovering) ideals in $…

math.CT2024

Cotorsion pairs and Enochs Conjecture for object ideals

Dandan Sun, Qikai Wang, Haiyan Zhu

Let $I$ and $J$ be object ideals in an exact category $(A; E)$ . It is proved that $(I, J)$ is a perfect ideal cotorsion p…