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math.RT2024
Differential graded triangular matrix categories
M. Lizbeth Shaid Sandoval Miranda, Valente Santiago Vargas, Edgar O. Velasco Páez
This paper focuses on defining an analog of differential-graded triangular matrix algebra in the context of differential-graded categories. Given two dg-categories an…
math.RA2024
A point-free version of torsionfree classes and the Goldie torsion theory
Mauricio Medina-Bárcenas, Martha Lizbeth Shaid Sandoval-Miranda, Ángel Zaldívar-Corichi
Torsion theories are a pinnacle in the theory of abelian categories. They are a generalization of torsion abelian groups and in this generalization one of the most studied is that…