Georgian Mathematical Journal

, Volume 2, Issue 4, pp 419–424 | Cite as

Global dimensions of subidealizer rings

  • John Koker
Article
  • 15 Downloads

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.

1991 Mathematics Subject Classification

16A60 16A55 16A33 

Key words and phrases

Idealizer of an ideal subidealizer of an ideal α-proper ring Krull dimension global dimension 

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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • John Koker
    • 1
  1. 1.Mathematics DepartmentUniversity of Wisconsin-OshkoshOshkoshUSA

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