A short note on “Group theoretic approach to rationally extended shape invariant potentials” [Ann. Phys. 359 (2015) 46-54]

- The equivalence of two conditions on SI rationally extended potentials is established.
- The identification works for exceptional X1 and Xℓ Laguerre or Jacobi cases.
- The link between shape invariance and potential algebra is strengthened.

It is proved the equivalence of the compatibility condition of Ramos (2011, 2012) with a condition found in Yadav et al. (2015). The link of Shape Invariance with the existence of a Potential Algebra is reinforced for the rationally extended Shape Invariant potentials. Some examples on X1 and Xℓ Jacobi and Laguerre cases are given.