3 papers
math.RT2022
Semiorthogonal decompositions for bounded derived categories of gentle algebras
Jakub Kopřiva, Jan Šťovíček
We study semiorthogonal decompositions of bounded derived categories of gentle algebras and how they are manifested in the geometric model of these categories as constructed by Opp…
math.RA2021
Ring epimorphisms from path algebras to matrix algebras
Jakub Kopřiva
In this text, we are concerned with ring epimorphisms, and more specifically universal localisations, from path algebras to matrix algebras. We are mainly focused on constructing r…
math.AC2019
Pushouts of affine algebraic sets
Jakub Kopřiva
We study the problem of existence of pushouts in the category of algebraic sets over an infinite field. This problem can be reduced to asking whether the property of being a finite…