Results 11 to 20 of about 150 (32)
Rings Graded By a Generalized Group
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
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On Linear Differential Equations Involving a Para-Grassmann Variable [PDF]
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
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Diameter and girth of Torsion Graph
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
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Finitely generated abelian groups of units [PDF]
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
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Sums of Multivariate Polynomials in Finite Subgroups [PDF]
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
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Asymptotic regularity of powers of ideals of points in a weighted projective plane
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
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Zero-Dimensionality and Serre Rings [PDF]
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.
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On the set of subrings wich are directed unions of Artinian subrings [PDF]
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
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On nonnil-S-Noetherian and nonnil-u-S-Noetherian rings
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
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Alguns resultats clàssics de l'àlgebra commutativa [PDF]
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
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