2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116633By studying certain kind of centralizer algebras of the affine Schur algebra $\widetilde{S}(n,r)$ we show that $\widetilde{S}(n,r)$ is Noetherian and we determine its center. Assuming $n\geq r$, we show that $\widetilde{S}(n+1,r)$ is Morita equivalent to $\widetilde{S}(n,r)$, and the Schur functor is an equivalence under certain conditions.10pages, also available at http://learn.tsinghua.edu.cn:8080/2002315664/dyang.htmRings and AlgebrasRepresentation Theory13F99(primary), 16G20(secondary)text