Title of article :
Uniserial rings of skew generalized power series
Author/Authors :
R. Mazurek، نويسنده , , M. Ziembowski، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Abstract :
Let R be a ring, S a strictly ordered monoid and a monoid homomorphism. In this paper we obtain some necessary conditions for the skew generalized power series ring R S,ω to be right (respectively left) uniserial, and we prove that these conditions are also sufficient when the monoid S is commutative or totally ordered.
Keywords :
Skew generalized power series ring , Right uniserial ring , Strictly ordered monoid , Right chain monoid
Journal title :
Journal of Algebra
Journal title :
Journal of Algebra