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Uniserial rings of skew generalized power series
Authors:R Mazurek  M Ziembowski
Institution:aFaculty of Computer Science, Bialystok Technical University, Wiejska 45A, 15-351 Białystok, Poland
Abstract:Let R be a ring, S a strictly ordered monoid and View the MathML source a monoid homomorphism. In this paper we obtain some necessary conditions for the skew generalized power series ring Rleft double bracket delimiterS,ωright double bracket delimiter 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
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