Results 11 to 20 of about 100,848 (293)

Multisummability for generalized power series

Canadian Journal of Mathematics, 2023
AbstractWe develop multisummability, in the positive real direction, for generalized power series with natural support, and we prove o-minimality of the expansion of the real field by all multisums of these series. This resulting structure expands both $\mathbb {R}_{\mathcal {G}}$ and the reduct of $\mathbb {R}_{\text {an}^*}$ generated by all ...
Jean-Philippe Rolin, Tamara Servi, Patrick Speissegger   +2 more
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Special Properties of Generalized Power Series

Journal of Algebra, 1995
Given a commutative ring \(R\) and a strictly ordered monoid \((S, \leq)\), the generalized power series ring \(A = R[[S, \leq]]\) is defined to be the set of all maps \(f : S \to R\) such that support\((f) = \{s \in S : f(s) \neq 0\}\) is artinian and narrow. The addition and multiplication on \(A\) are defined appropriately.
Ribenboim, P.
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Factorization in generalized power series [PDF]

Transactions of the American Mathematical Society, 1999
The field of generalized power series with real coefficients and exponents in an ordered abelian divisible groupG\mathbf {G}is a classical tool in the study of real closed fields. We prove the existence of irreducible elements in the ringR((G≤0))\mathbf {R}(( \mathbf {G}^{\leq 0}))consisting of the generalized power series with non-positive exponents ...
BERARDUCCI, ALESSANDRO, Alessandro Berarducci   +1 more
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Exponentiated power generalized Weibull power series family of distributions: Properties, estimation and applications.

PLoS ONE, 2020
In this paper, we introduce the exponentiated power generalized Weibull power series (EPGWPS) family of distributions, obtained by compounding the exponentiated power generalized Weibull and power series distributions.
Maha A Aldahlan, Farrukh Jamal, Christophe Chesneau, Ibrahim Elbatal, Mohammed Elgarhy   +4 more
doaj   +2 more sources

Geometric Properties of Some Generalized Mathieu Power Series inside the Unit Disk [PDF]

Axioms, 2022
We consider two parametric families of special functions: One is defined by a power series generalizing the classical Mathieu series, and the other one is a generalized Mathieu type power series involving factorials in its coefficients.
Živorad Tomovski, Stefan Gerhold, Deepak Bansal, Amit Soni   +3 more
doaj   +3 more sources

A STUDY OF DERIVATIONS AND LINEAR MAPPINGS ON SKEW GENERALIZED POWER SERIES MODULES

Barekeng
This paper investigates the structure of skew generalized power series modules over skew generalized power series rings, emphasizing the extension of derivations in this context. We define and study additive mappings that generalize classical derivations
Ahmad Faisol, Fitriani Fitriani
doaj   +3 more sources

PS-Modules over Ore Extensions and Skew Generalized Power Series Rings [PDF]

International Journal of Mathematics and Mathematical Sciences, 2015
A right R-module MR is called a PS-module if its socle, SocMR, is projective. We investigate PS-modules over Ore extension and skew generalized power series extension.
Refaat M. Salem, Mohamed A. Farahat, Hanan Abd-Elmalk   +2 more
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ALMOST right (left) SEMICLEAN RINGS of SKEW GENERALIZED POWER SERIES

Journal of Scientific Research in Science
We extend the notions of almost clean, n-almost clean, and almost semiclean to the non-commutative setting. Then, we demonstrate that under specific conditions that the skew generalized power series rings S[[T,w]] is almost right (left) semiclean if ...
Dina Abdelhakim, Refaat Salem, Sarah El-Din   +2 more
doaj   +2 more sources

On t-closedness of generalized power series rings

Journal of Pure and Applied Algebra, 2002
Let \(A\subset B\) be an extension of commutative rings. We say that \(A\) is \(t\)-closed in \(B\) if, whenever \(b^2-ab\), \(b^3-ab^2\in A\) for \(a\in A\) and \(b\in B\), then \(b\in A\). We say that property \({\mathcal P}_1(A,B)\) holds if, whenever \(ab\in A\) for \(a\in A\) and \(b\in B\), then \(ab^2\in A\).
Hwankoo Kim, Kim, Hwankoo
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Irreducibility in generalized power series

A classical tool in the study of real closed fields are the fields $K((G))$ of generalized power series (i.e., formal sums with well-ordered support) with coefficients in a field $K$ of characteristic 0 and exponents in an ordered abelian group $G$. In this paper we enlarge the family of ordinals $α$ of non-additively principal Cantor degree for which $
Fornasiero, Antongiulio, Lavi, Noa, L'Innocente, Sonia, Mantova, Vincenzo   +3 more
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