The determinantal basis criterion for extending generalized spline modules
Let (G,β)(G,\beta)(G,β) be an edge-labeled graph over a GCD domain RRR, and let F1,F2,…,Fn∈R^GF_1,F_2,\ldots,F_n\in\hat{R}_GF1,F2,…,Fn∈R^G be splines. The determinant of these splines is denoted by…