  If $A$ is a ring with automorphism $\varphi$ and the skew Laurent series ring
$A((x,\varphi ))$ is a right semidistributive semilocal ring then $A$ is a
right semidistributive right Artinian ring. The Laurent series ring $A((x))$ is
a right semidistributive semilocal ring if and only if $A$ is a right
semidistributive right Artinian ring.
  The study is supported by Russian Scientific Foundation (project
16-11-10013).

Rings and Algebras