Results 1 to 10 of about 18,881 (225)

On n-associative formal power series over rings

Rendiconti Del Circolo Matematico Di Palermo
Abstract Consider a commutative ring R with 1. A formal power series $$F(x_1,\ldots ,x_n)\in R[\![x_1,\ldots ,x_n]\!]$$ F ( x 1
Susan F El-Deken, Harald Fripertinger, Fripertinger Harald   +2 more
exaly   +3 more sources

Endo-Noetherian Skew Generalized Power Series Rings [PDF]

Assiut University Journal of Multidisciplinary Scientific Research, 2023
Endo-Noetherian modules were introduced by A. Kaidi and E. Sanchez] as a generalization of Noetherian modules. A left Ɍ-module M which satisfies the ascending chain condition for endomorphic kernels is said to be endo-Noetherian.
Ramy Abdel-Khaleq, Refaat Salem, Neamat Mohamed   +2 more
doaj   +1 more source

Cramer's rule for implicit linear differential equations over a non-Archimedean ring

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022
We consider a linear nonhomogeneous $m$-th order differential equation in a ring of formal power series with coefficients from some field of characteristic zero.
A. Goncharuk
doaj   +1 more source

PRESIMPLIFIABLE AND WEAKLY PRESIMPLIFIABLE RINGS

Barekeng, 2023
Let  be a commutative ring with identity. Two elements   and b in   are called to be associates if  and , or equivalently, if . The generalization of associate relation in R has given the idea for definitions of presimplifiable and weakly presimplifiable
Deby Anastasya, Sri Wahyuni
doaj   +1 more source

On the R-automorphisms of formal power series on several indeterminates and with coefficients over the ring R

Selecciones Matemáticas, 2022
In this paper, we show a way to characterize the R-automorphisms of formal power series on several indeterminates and with coefficients over a commutative ring with identity, R.
Soledad Ramírez C., Anderson Cárdenas F.   +1 more
doaj   +1 more source

Implicit linear difference equations over a non-Archi-medean ring

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2021
Over any field an implicit linear difference equation one can reduce to the usual explicit one, which has infinitely many solutions ~ one for each initial value.
Anna Goncharuk
doaj   +1 more source

Arquile Varieties – Varieties Consisting of Power Series in a Single Variable

Forum of Mathematics, Sigma, 2021
Spaces of power series solutions $y(\mathrm {t})$ in one variable $\mathrm {t}$ of systems of polynomial, algebraic, analytic or formal equations $f(\mathrm {t},\mathrm {y})=0$ can be viewed as ‘infinite-dimensional’ varieties over ...
Herwig Hauser, Sebastian Woblistin
doaj   +1 more source

A factorization formula for power series [PDF]

Discrete Mathematics & Theoretical Computer Science, 2014
Given an odd prime p, we give an explicit factorization over the ring of formal power series with integer coefficients for certain reducible polynomials whose constant term is of the form $p^w$ with $w>1$.
Daniel Birmajer, Juan B. Gil, Michael D. Weiner   +2 more
doaj   +1 more source

The VIT Transform Approach to Discrete-Time Signals and Linear Time-Varying Systems

Eng, 2021
A transform approach based on a variable initial time (VIT) formulation is developed for discrete-time signals and linear time-varying discrete-time systems or digital filters.
Edward W. Kamen
doaj   +1 more source

Some remarks on the formal power series ring [PDF]

Bulletin De La Societe Mathematique De France, 1971
exaly   +3 more sources