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Global Dimensions of Subidealizer Rings
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John Koker
Published/Copyright:
February 23, 2010
Abstract
Recently, there have been many results which show that the global dimension of certain rings can be computed using a proper subclass of the cyclic modules, e.g., the simple modules. In this paper we view calculating global dimensions in this fashion as a property of a ring and show that this is a property which transfers to the ring's idealizer and subidealizer ring.
Key words and phrases.: Idealizer of an ideal; subidealizer of an ideal; α-proper ring; Krull dimension; global dimension
Received: 1994-03-28
Published Online: 2010-02-23
Published in Print: 1995-August
© 1995 Plenum Publishing Corporation
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- Geometry of Poisson Structures
- Necessary and Sufficient Conditions for Weighted Orlicz Class Inequalities for Maximal Functions and Singular Integrals. I
- On the Solvability of A Spatial Problem of Darboux Type for the Wave Equation
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- Global Dimensions of Subidealizer Rings
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Keywords for this article
Idealizer of an ideal;
subidealizer of an ideal;
α-proper ring;
Krull dimension;
global dimension
Articles in the same Issue
- On Optimal Stopping of Inhomogeneous Standard Markov Processes
- Geometry of Poisson Structures
- Necessary and Sufficient Conditions for Weighted Orlicz Class Inequalities for Maximal Functions and Singular Integrals. I
- On the Solvability of A Spatial Problem of Darboux Type for the Wave Equation
- On Proper Oscillatory and Vanishing at Infinity Solutions of Differential Equations with A Deviating Argument
- Global Dimensions of Subidealizer Rings
- Regular Fréchet–Lie Groups of Invertible Elements in Some Inverse Limits of Unital Involutive Banach Algebras
