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UMP Monomial Algebras: Combinatorial and Homological Consequences
Jhony Caranguay-Mainguez, Andrés Franco, David Reynoso-Mercado +1
In this paper, we apply the techniques developed in [5] to present several consequences of studying UMP algebras and the ramifications graph of a monomial bound quiver algebra. Spe…
About UMP algebras and a special classification case
Jhony F. Caranguay-Mainguez, Andrés Franco, David Reynoso-Mercado +1
The class of UMP algebras arises in several classification problems in the context of derived categories of finite-dimensional algebras. In this paper we define the class of UMP al…
Periodic String Complexes over String Algebras
Andrés Franco, Hernán Giraldo, Pedro Rizzo
In this paper we develop combinatorial techniques for the case of string algebras with the aim to give a characterization of string complexes with infinite minimal projective resol…
String and band complexes over SAG algebras
Andrés Franco, Hernán Giraldo, Pedro Rizzo
We give a combinatorial description of a family of indecomposable objects in the bounded derived categories of a new class of algebras: string almost gentle algebras. These indecom…