Author

Xin Ma

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Preprint Aug 2026

Tilting realizations of derived-equivalent matrix centralizer algebras

Let $A$ be the centralizer algebra of a matrix over an arbitrary field. We solve the fixed-source realization problem for matrix centralizers by proving that the matrix centralizer algebras derived equivalent to $A$ are precisely the opposite endomorphism algebras of tilting modules over $A$. We classify the basic tilt...

Jiang-Sheng Hu, Xin Ma, Jinbi Zhang et al. · 0 citations

Preprint Aug 2026

Bockstein operations and AD algebras with unbounded torsion in $K_1$

Eilers showed that for AD algebras of real rank zero with bounded torsion in $\mathrm{K}_1$, the coefficient transformations $\kappa$ are redundant in the classification by ordered scaled total $K$-theory. In this paper we treat the unbounded torsion case and prove that, in contrast, $\kappa$ becomes necessary. Specifi...

Qingnan An, Zhi-Chao Liu, Xin Ma · 0 citations