Uniserial rings of skew generalized power series |
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Authors: | R Mazurek M Ziembowski |
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Institution: | aFaculty of Computer Science, Bialystok Technical University, Wiejska 45A, 15-351 Białystok, Poland |
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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 RS,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. |
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Keywords: | Skew generalized power series ring Right uniserial ring Strictly ordered monoid Right chain monoid |
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