Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (4): 1029-1043.doi: 10.1016/S0252-9602(10)60100-2

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THE P-COTORSION DIMENSIONS OF MODULES AND RINGS

 GENG Yu-Xian   

  1. School of Mathematics and Physics, Jiangsu Teachers University of Technology, |Changzhou 213001, |China
  • Received:2006-12-30 Online:2010-07-20 Published:2010-07-20
  • Supported by:

    This research was partially supported by Collegial Natural Science Research Program of Education Department of Jiangsu Province (07KJD110043)

Abstract:

Let R be a ring. We define a dimension, called P-cotorsion dimension, for modules and rings. The aim of this
article is to investigate P-cotorsion dimensions of modules and rings and the relations between P-cotorsion dimension and other homological dimensions. This dimension has nice properties when the ring in consideration is generalized morphic.

Key words: P-cotorsion dimension, P-cotorsion envelope, P-flat cover, generalized morphic ring

CLC Number: 

  • 16E10
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