Results 181 to 190 of about 7,928 (214)

On the solutions of the translation equation in rings of formal power series

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2005
For \(\mathbb{K}\in\{\mathbb{R},\mathbb{C}\}\) let \(\mathbb{K}[[X]]\) denote the ring of formal power series with coefficients from \(\mathbb{K}\) and let \(\Gamma(\mathbb{K})\) denote the group of invertible power series. \(L^1_{\infty}\) is the group consisting of all sequences \((x_1,x_2,\ldots)\in\mathbb{K}^{\infty}\) such that \(x_1\neq 0\) with ...
Jabloński, Wojciech, Reich, Ludwig
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Cyclic codes over formal power series rings

Acta Mathematica Scientia, 2011
Abstract In this article, cyclic codes and negacyclic codes over formal power series rings are studied. The structure of cyclic codes over this class of rings is given, and the relationship between these codes and cyclic codes over finite chain rings is obtained. Using an isomorphism between cyclic and negacyclic codes over formal power series rings,
Steven T. Dougherty, Liu Hongwei
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Rings of formal power series and symmetric real semigroups

Journal of Algebra
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M. Dickmann, A. Petrovich
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Algebraic elements in formal power series rings

Israel Journal of Mathematics, 1988
Let k be a perfect field of characteristic p. A set A of additive endomorphisms of k((x)) is defined such that an element f of k((x)) is algebraic over k(x) if and only if f is contained in an A-stable finite- dimensional k-vectorsubspace of k((x)). Other known characterizations of algebraicity are derived from this.
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Anti-Archimedean property and the formal power series rings

Communications in Algebra, 2019
We investigate the anti-Archimedean property in the power series rings. We characterize the bounded elements of D[​[X]​].
Mi Hee Park, Ahmed Hamed, Walid Maaref
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Formal Power Series Over Strongly Hopfian Rings

Communications in Algebra, 2010
A commutative ring R is said to be strongly Hopfian if the chain of annihilators ann(a) ⊆ ann(a 2) ⊆ … stabilizes for each a ∈ R. In this article, we are interested in the class of strongly Hopfian rings and the transfer of this property from a commutative ring R to the ring of the power series R[[X]]. We provide an example of a strongly Hopfian ring R
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Generalization of Artinian rings and the formal power series rings

Rendiconti del Circolo Matematico di Palermo Series 2, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maaref, Walid, Hamed, Ahmed, Benhissi, Ali   +2 more
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Two absorbing factorization formal power series rings

Communications in Algebra
Hizem Sana
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Composition rings from formal power series rings

Communications in Algebra, 2017
ABSTRACTWe study the ideals in some Dickson nearrings of polynomials and formal power series. For some of their related quotients, we introduce variants and generalizations, and construct compositi...
Giordano Gallina, Fiorenza Morini
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Rings of Formal Power Series

Canadian Mathematical Bulletin, 1971
In this brief exposition we collect several results on rings of formal power series with coefficients from a field or a ring with some special properties. The results that are catalogued below are mostly algebraic in nature.
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