4 papers
On universal deformation rings and stable homogeneous tubes
Jhony F. Caranguay-Mainguez, Pedro Rizzo, Jose A. Velez-Marulanda
Let be a field of any characteristic and let be a finite dimensional -algebra. We prove that if is a finite dimensional right -module that lie…
Exact weights and path metrics for triangulated categories and the derived category of persistence modules
Peter Bubenik, Jose A. Velez-Marulanda
We define exact weights on a triangulated category to be nonnegative functions on objects satisfying a subadditivity condition with respect to exact triangles. Such weights induce…
On Weak Universal Deformation Rings for Objects of EXT-FINITE Categories of Modules
Diego H. Lopez-Garcia, Pedro Rizzo, Jose A. Velez-Marulanda
Let $\A$ be a $\k$-algebra where $\k$ a field of arbitrary characteristic, and let $\mathscr{A}_\k$ be a full subcategory of $\A$-Mod, the abelian category of left $\A$-modules.Fol…
On universal deformation rings of modules over a certain class of symmetric algebras of finite representation type
Jhony F. Caranguay-Mainguez, Pedro Rizzo, Jose A. Velez-Marulanda
Let be an algebraically closed field. Recently, K. Erdmann classified the symmetric -algebras of finite representation type such that every non-projec…