Vijay Kumar Bhat

A note on Krull dimension of skew polynomial rings

(Lobachevskii Journal of Mathematics, Vol.22, pp.3-6 )

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.



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