6 problems

Let $B=\operatorname{End}_\Lambda(T_M)$, let ${\mathcal T}_B^{\rm cl}$ denote the relevant class of classical tilting $B$-modules, and let ${\mathcal F}(\Delta)$ be the category de…

Let $r$ be a nonnegative integer, let $\Bbbk$ be the underlying field, and let $S_\Bbbk(r,r)$ be the classical Schur algebra. An $i$-faithful quasi-hereditary cover means a quasi-h…

Conjugacy conjecture. There exists an invertible element $x\in R$ such that

Let $n$ and $r$ be positive integers, let $q$ be the parameter, let $Q$ be the second parameter, and let $\mathcal{L}^n(2r-1)$ denote the algebra under consideration. Quasi-heredit…

Let $A_R$ be a based quasi-hereditary algebra over $R$ with conforming heredity data, and let $A'_R$ be a Ringel dual of $A_R$. Let $T^A(n,d)_\mathbb{F}$ and…

Bobiński–Malicki conjecture.