Geodesic
A note on Krull dimension of skew polynomial rings
Lobachevskii journal of mathematics, Tome 22 (2006), pp. 3-6.

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Let $A$ be a commutative Noetherian ring such that Krull dimension of $A$ is $\alpha$. Let $M$ be a finitely generated critical module over $A[x,\sigma]$, (where $\sigma$ is an automorphism of $A$) and Krull dimension of $M$ is $\alpha+1$. Then $M$ has a prime annihilator.
Keywords: critical module, prime annihilator.
Mots-clés : automorphism, Krull dimension 
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V. K. Bhat. A note on Krull dimension of skew polynomial rings. Lobachevskii journal of mathematics, Tome 22 (2006), pp. 3-6. http://geodesic.mathdoc.fr/item/LJM_2006_22_a0/

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