  In 2011, Khurana, Lam and Wang define the following property. (*)A
commutative unital ring A satisfies the property ''power stable range one'' if
for all a, b $\in$ A with aA + bA = A there are an integer N = N (a, b) $\ge$ 1
and $\lambda$ = $\lambda$(a, b) $\in$ A such that b N + $\lambda$a $\in$ A x ,
the unit group of A. In 2019, Berman and Erman consider rings with the
following property (**) A commutative unital ring A has enough homogeneous
polynomials if for any k $\ge$ 1 and set S := {p 1 , p 2 , ..., p k } , of
primitive points in A n and any n $\ge$ 2, there exists an homogeneous
polynomial P (X 1 , X 2 , ..., X n) $\in$ A[X 1 , X 2 , ..., X n ]) with deg P
$\ge$ 1 and P (p i) $\in$ A x for 1 $\le$ i $\le$ k. We show in this article
that the two properties (*) and (**) are equivalent and we shall call a
commutative unital ring with these properties a good ring. When A is a
commutative unital ring of pictorsion as defined by Gabber, Lorenzini and Liu
in 2015, we show that A is a good ring. Using a Dedekind domain we built by
Goldman in 1963,we show that the converse is false.
