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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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余纯投射模与CPH环
, PP. 198-201
Keywords: 余纯投射模,CPH环,Gorenstein投射模
Abstract:
设R是环,R-模M称为余纯投射模,是指对任意平坦模F,都有Ext1R(M,F)=0.证明了余纯投射模或者是投射模,或者其平坦维数不低于2.还引入CPH环的概念,证明了R是CPH环当且仅当平坦模的内射维数不超过1,当且仅当R的每个理想是余纯投射的.
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