Perfect modules with Betti numbers (2,6,5,1)

In 2018 Celikbas, Laxmi, Kraśkiewicz, and Weyman exhibited an interesting family of perfect ideals codimension three, with five generators, Cohen-Macaulay type two trivial multiplication on the Tor algebra. All previously known had been found by Brown in 1987. Brown's all have non-trivial We prove that are obtained from (non-homogeneous) specialization. also both families ideals, when built using power series variables over a field, define rigid algebras sense Lichtenbaum Schlessinger.