Uniserial rings of skew generalized power series |
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Authors: | R. Mazurek M. Ziembowski |
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Affiliation: | 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 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. |
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Keywords: | Skew generalized power series ring Right uniserial ring Strictly ordered monoid Right chain monoid |
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