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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 22
  3. Acta Mathematica Sinica, English Series : Volume 22, Issue 2, April 2006
  4. Ideal–comparability over Regular Rings
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 22, Issue 6, November 2006
Acta Mathematica Sinica, English Series : Volume 22, Issue 5, September 2006
Acta Mathematica Sinica, English Series : Volume 22, Issue 4, July 2006
Acta Mathematica Sinica, English Series : Volume 22, Issue 3, May 2006
Acta Mathematica Sinica, English Series : Volume 22, Issue 2, April 2006
Stable Stationary Harmonic Maps to Spheres
P–adic Modular Symbols and Λ–adic Modular Forms
Tail Bounds for the Suprema of Empirical Processes over Unbounded Classes of Functions
Multilinear Singular and Fractional Integrals
Standing Waves of the Inhomogeneous Klein–Gordon Equations with Critical Exponent
Einstein–Kähler Metric with Explicit Formula on Super–Cartan Domain of the Fourth Type
On the Order of Magnitude of the Divisor Function
Principal Congruence Subgroups of Hecke Groups $$ H{\left( {{\sqrt q }} \right)} $$
Nonlinear Parabolic Equations with Singularities in Colombeau Vector Spaces
Ergodic Retraction Theorem and Weak Convergence Theorem for Reversible Semigroups of Non–Lipschitzian Mappings
Ideal–comparability over Regular Rings
The Compactness of Commutators on the Heisenberg Group
Constructing Restricted Patterson Measures for Geometrically Infinite Kleinian Groups
Persistence and Extinction in Two Species Models with Impulse
Generalized Solution of a Kind of Nonparametric Curvature Evolution with Boundary Condition
On Ginzburg–Landau Vortices of Superconducting Thin Films
Least–Squares Solution of Inverse Problem for Hermitian Anti–reflexive Matrices and Its Appoximation
Existence and Nonexistence of Global Classical Solutions to Porous Medium and Plasma Equations with Singular Sources
Uniform and L–convergence of Logarithmic Means of Walsh–Fourier Series
Mackey Theory for p–adic Lie Groups
The Generalized West Decomposition of Operators and Other Compact Perturbation Problems
Existence for a Class of Non–Newtonian Fluids with a Nonlocal Friction Boundary Condition
The Law of Iterated Logarithm of Rescaled Range Statistics for AR(1) Model
Remarks on the Extremal Functions for the Moser–Trudinger Inequality
Chung–type Law of the Iterated Logarithm on lp–valued Gaussian Processes
On Mean Values of Character Sums
Algebraic Independence of Certain Values of Exponential Function
On Concave Operators
On an Asymptotic Behavior of Exponential Functional Equation
Preemptive Semi–online Algorithms for Parallel Machine Scheduling with Known Total Size
On the Existence of Feller Semigroups with Discontinuous Coefficients
Optimal Control of Variational Inequalities with Delays in the Highest Order Spatial Derivatives
Adjoint Functors and Representation Dimensions
Acta Mathematica Sinica, English Series : Volume 22, Issue 1, January 2006
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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Ideal–comparability over Regular Rings

Content Provider Springer Nature Link
Author Chen, Miao Sen Chen, Huan Yin
Copyright Year 2005
Abstract We introduce the concept of ideal–comparability condition for regular rings. Let I be an ideal of a regular ring R. If R satisfies the I–comparability condition, then R is one–sided unit–regular if and only if so is R / I. Also, we show that a regular ring R satisfies the general comparability if and only if the following hold: (1) R / I satisfies the general comparability; (2) R satisfies the general I–comparability condition; (3) The natural map B(R) → B(R / I) is surjective.
Ending Page 424
Page Count 8
Starting Page 417
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 2
Volume Number 22
Language English
Publisher Springer-Verlag
Publisher Date 2005-09-05
Publisher Place Berlin/Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Ideal–Comparability Regular Rings von Neumann regular rings and generalizations Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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