数学物理学报(英文版) ›› 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

耿玉仙   

  1. School of Mathematics and Physics, Jiangsu Teachers University of Technology, |Changzhou 213001, |China
  • 收稿日期:2006-12-30 出版日期:2010-07-20 发布日期:2010-07-20
  • 基金资助:

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

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)

摘要:

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.

关键词: P-cotorsion dimension, P-cotorsion envelope, P-flat cover, generalized morphic ring

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

中图分类号: 

  • 16E10