Acta mathematica scientia, Series B >
THE P-COTORSION DIMENSIONS OF MODULES AND RINGS
Received date: 2006-12-30
Online published: 2010-07-20
Supported by
This research was partially supported by Collegial Natural Science Research Program of Education Department of Jiangsu Province (07KJD110043)
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.
GENG Yu-Xian . THE P-COTORSION DIMENSIONS OF MODULES AND RINGS[J]. Acta mathematica scientia, Series B, 2010 , 30(4) : 1029 -1043 . DOI: 10.1016/S0252-9602(10)60100-2
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