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basis4.m2
R = ZZ[a,b,c] I = ideal(2*a, b^4, c^4) assert try(basis (R/I);false) else true assert try(basis R;false) else true M = R^1/ideal(a^2,b^3,c^4) assert(numgens source basis M == 24) assert(numgens source basis (M ++ M) == 48) assert try(basis (M ++ R^1);false) else true assert(basis(R^1/ideal(1_R)) == 0) S = QQ[x] assert(numgens source basis (S/(x^6)) == 6) assert(numgens source basis (S^1/ideal(1_S)) == 0)
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