This article is cited in 8 papers

Semilocal right distributive skew Laurent series rings

D. A. Tuganbaev

M. V. Lomonosov Moscow State University

Abstract: We prove that the following conditions are equivalent. (1) The skew Laurent series ring $A((t,\varphi))$ is semilocal and right distributive. (2) The ring $A((t,\varphi))$ is a finite direct product of right uniserial rings. (3) The ring $A((t,\varphi))$ is a finite direct product of right uniserial right Artinian rings. (4) The ring $A$ is a finite direct product of right uniserial right Artinian rings $A_i$, and $\varphi(A_i)=A_i$ for all $i$.

UDC: 512.55

Received: 01.06.1999

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