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The singularity category of an algebra with radical square zero

Research paper by Ales M. Bouhada

Indexed on: 15 Jan '19Published on: 15 Jan '19Published in: arXiv - Mathematics - Category Theory



Abstract

This paper studies the singularity category of a locally bounded $k$-linear category $\mathscr{C}$ with radical square zero. Following the work of Bautista and Liu [4], we give a complete description of $D_{sg}(\mathscr{C})$. Examples are provided to show how one can easily compute the generators of $D_{sg}(\mathscr{C})$ from the quiver of $\mathscr{C}$.