Are there any definitions of quivers for algebras which are not basic or unital? I am reading the book Elements of the representation theory of associative algebras: volume one. The ordinary quivers and AR quivers are defined only for unital basis algebras. If I have an algebra which is not basic or not unital, could we compute some kinds of quivers for this algebra?

I search on the Internent and find that there are some quivers called Ext-quivers. Are there any other quivers? What are the relations between these quivers? Thank you very much.