An affine prime non-semiprimitive monomial algebra with quadratic growth

L. Bartholdi, Branch rings, thinned rings, tree enveloping rings, Israel J. Math., in press Beĭdar, 1981, Radicals of finitely generated algebras, Uspekhi Mat. Nauk, 36, 203 Bell, 2003, Examples in finite Gelfand–Kirillov dimension, J. Algebra, 263, 159, 10.1016/S0021-8693(03)00021-8 Belov, 2005 Markov, 1981, Some examples of finitely generated algebras, Russ. Math. Surv., 36, 167, 10.1070/RM1981v036n05ABEH003048 Rowen, 1988, Ring Theory, vol. 127 Zelmanov, 1979, An example of a finitely generated prime ring, Sib. Math. J., 20, 303, 10.1007/BF00970042