Results 131 to 140 of about 1,159 (179)

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

Abhandlungen Aus Dem Mathematischen Seminar Der Universitat 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 ...
L Reich
exaly   +4 more sources

t-closed rings of formal power series

Archiv Der Mathematik, 1999
Let \(A \subset B\) be rings. \(A\) is said to be \(t\)-closed in \(B\) if for each \(a \in A\) and \(b \in B\) such that \(b^{2}-ab, b^{3}-ab^{2} \in A\) then \(b \in A\). In this note, the author proves that if \(A\) and \(B\) satisfy that for each \(a \in A\) and \(b \in B\) such that \(ab \in A\) then \(ab^{2} \in A\) and that \(A\) is \(t\)-closed
Ali Benhissi, Benhissi Ali
exaly   +3 more sources

Rings in the near-rings of formal power series

Periodica Mathematica Hungarica, 1991
Let \(A\) be a commutative ring, let \(A[[X]]\) be the ring of formal power series in a single variable \(X\) over some commutative ring \(A\) and let \(A_ +[[X]]\) be the set of formal power series of \(A[[X]]\) with zero constant term, equipped with its structure of a near-ring obtained with addition and composition.
Gutierrez J
exaly   +4 more sources

Rings of formal power series and symmetric real semigroups

Journal of Algebra
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M Dickmann
exaly   +3 more sources

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
exaly   +3 more sources

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
openaire   +2 more sources

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.
N. Sankaran
openaire   +3 more sources

Two absorbing factorization formal power series rings

Communications in Algebra
Let R be a commutative ring with identity. A proper ideal I of R is said to be 2-absorbing if whenever xyz∈I for some elements x,y,z∈R, then either xy∈I or xz∈I or yz∈I.
Hizem Sana
exaly   +3 more sources

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
openaire   +3 more sources

Nonnil-Noetherian Rings and Formal Power Series

Algebra Colloquium, 2020
Let A be a commutative ring with unit. We characterize when A is nonnil-Noetherian in terms of the quotient ring A/ Nil(A) and in terms of the power series ring A[[X]].
A. Benhissi
openaire   +2 more sources