Geodesic
On serial rings
Diskretnaya Matematika, Tome 28 (2016) no. 4, pp. 150-157.

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Let A be a ring such that all maximal indecomposable factor rings $A_i$ of $A$ are serial rings. Then every square matrix over $A$ is diagonalizable. In addition, if all the rings $A_i$ are Bezout rings, then every rectangular matrix over $A$ is diagonalizable. If $\varphi$ is an automorphism of the ring $A$, then the skew Laurent series ring $A((x,\varphi ))$ is a serial ring if and only if $A$ is a serial Artinian ring.
Keywords: serial ring, Bezout ring, diagonalizable ring, skew Laurent series ring. 
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A. A. Tuganbaev. On serial rings. Diskretnaya Matematika, Tome 28 (2016) no. 4, pp. 150-157. http://geodesic.mathdoc.fr/item/DM_2016_28_4_a11/

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