A note on injectivity of monomial algebras

Ardeline M. Buhphang, Rishabh Goswami, Amit Kuber

We show that a monomial algebra $\Lambda$ over an algebraically closed field $K$ is self-injective if and only if each map $\mathrm{soc}{(}_{\Lambda }\Lambda )\to {}_{\Lambda }\Lambda$ can be extended to an endomorphism…