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Condition (Fg) was introduced in [6] to ensure that the theory of supportvarieties of a finite dimensional algebra, established by Snashall and Solberg,has some similar properties to that of a group algebra. In this paper we givesome easy to check combinatorial conditions that are equivalent to (Fg) formonomial d-Koszul algebras. We then extend this to monomial (D, A)-stackedalgebras. We also extend the description of the Yoneda algebra of a d-Koszulalgebra in [11] to (D, A)-stacked monomial algebras.

A combinatorial characterisation of d-Koszul and (D,A)-stacked monomial algebras that satisfy (Fg)