Results 11 to 20 of about 150 (32)

Rings Graded By a Generalized Group

open access: yesTopological Algebra and its Applications, 2014
The aim of this paper is to consider the ringswhich can be graded by completely simple semigroups.We show that each G-graded ring has an orthonormal basis, where G is a completely simple semigroup. Weprove that if I is a complete homogeneous ideal of a G-
Fatehi Farzad, Molaei Mohammad Reza
doaj   +1 more source

On Linear Differential Equations Involving a Para-Grassmann Variable [PDF]

open access: yes, 2009
As a first step towards a theory of differential equations involving para-Grassmann variables the linear equations with constant coefficients are discussed and solutions for equations of low order are given explicitly.
Mansour, Toufik, Schork, Matthias
core   +5 more sources

Diameter and girth of Torsion Graph

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
Let R be a commutative ring with identity. Let M be an R-module and T (M)* be the set of nonzero torsion elements. The set T(M)* makes up the vertices of the corresponding torsion graph, ΓR(M), with two distinct vertices x, y ∈ T(M)* forming an edge if ...
Rad P. Malakooti   +3 more
doaj   +1 more source

Finitely generated abelian groups of units [PDF]

open access: yes, 2019
In 1960 Fuchs posed the problem of characterizing the groups which are the groups of units of commutative rings. In the following years, some partial answers have been given to this question in particular cases.
Del Corso, Ilaria
core   +2 more sources

Sums of Multivariate Polynomials in Finite Subgroups [PDF]

open access: yes, 2018
Let R be a commutative ring, f ∈ R[X1,⋯,Xk] a multivariate polynomial, and G a finite subgroup of the group of units of R satisfying a certain constraint, which always holds if R is a field.
Leonetti P, Marino A
core   +1 more source

Asymptotic regularity of powers of ideals of points in a weighted projective plane

open access: yes, 2009
In this paper we study the asymptotic behavior of the regularity of symbolic powers of ideals of points in a weighted projective plane. By a result of Cutkosky, Ein and Lazarsfeld, regularity of such powers behaves asymptotically like a linear function ...
Cutkosky, Steven Dale, Kurano, Kazuhiko
core   +1 more source

Zero-Dimensionality and Serre Rings [PDF]

open access: yes, 2004
2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05.This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R is expressible as a directed union of Artinian ...
Karim, D.
core  

On the set of subrings wich are directed unions of Artinian subrings [PDF]

open access: yes, 2005
The paper contributes to the investigation of zero-dimensional rings which can be written as a directed union of Artinian subrings.
Karim, Darioush   +2 more
core  

On nonnil-S-Noetherian and nonnil-u-S-Noetherian rings

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let R be a commutative ring with identity, and let S be a multiplicative subset of R. Then R is called a nonnil-S-Noetherian ring if every nonnil ideal of R is S-finite.
Mahdou Najib   +2 more
doaj   +1 more source

Alguns resultats clàssics de l'àlgebra commutativa [PDF]

open access: yes, 2013
Aquest és un treball d'Àlgebra Commutativa. S'assumeixen des del principi coneixements d'àlgebra molt bàsics. S'introdueixen primer els conceptes d'anell i d'ideal i es desenvolupen fins a arribar als dos primers resultats del treball: el Lema d'evitació
Soria Fuentes, Crhistel
core  

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