# A note on Krull dimension of skew polynomial rings

## (*Lobachevskii Journal of Mathematics, Volume XXII*)

Let *A* be a commutative Noetherian ring such that Krull dimension
of A is *α*. Let *M* be a finitely generated critical module
over *A[x,σ]*, (where *σ* is an automorphism of *A*) and
Krull dimension of M is *α + 1*. Then *M* has a prime
annihilator.