Results 1 to 10 of about 1,159 (179)

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   +4 more sources

Rings of formal power series over a Krull domain

Mathematische Zeitschrift, 1968
Robert Gilmer, William Heinzer, Gilmer Robert   +2 more
exaly   +4 more sources

FORMAL POWER SERIES RINGS OVER ZERO-DIMENSIONAL SFT-RINGS [PDF]

Communications in Algebra, 1996
ABSTRACT: Let R be a zero-dimensional SFT-ring. It is proved that the minimal prime ideals of the formal power series ring A=R[[x 1, …, xn ]] are the ideals of the form [[x 1, …, xn ]], where is a (minimal) prime of R. It follows that A has Krull dimension n and is catenarian. If R⊆T where T is also a zero-dimensional SFT-ring, the lying-over, going-up,
Jim Coykendall, David E Dobbs
exaly   +2 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

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

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

Chain of Prime Ideals in Formal Power Series Rings [PDF]

Proceedings of the American Mathematical Society, 1983
Let R R be a Noetherian domain and
de Souza Doering, Ada Maria, Lequain, Yves   +1 more
openaire   +2 more sources

Multiplicative Structure and Hecke Rings of Generator Matrices for Codes over Quotient Rings of Euclidean Domains

Mathematics, 2017
In this study, we consider codes over Euclidean domains modulo their ideals. In the first half of the study, we deal with arbitrary Euclidean domains.
Hajime Matsui
doaj   +1 more source

Moduli space of filtered λ-ringstructures over a filtered ring

International Journal of Mathematics and Mathematical Sciences, 2004
Motivated in part by recent works on the genus of classifying spaces of compact Lie groups, here we study the set of filtered λ-ring structures over a filtered ring from a purely algebraic point of view. From a global perspective, we first show that this
Donald Yau
doaj   +1 more source