Some Homological Characterizations of Semigroups and Semirings  

作　　者：Javed AHSAN Zhong Kui LIU Muhammad SHABIR 

机构地区：[1]Department of Mathematics, International Islamic University, H-10 Campus,Islamabad 44000, Pakistan [2]Department of Mathematics, Northwest Normal University, Lanzhou 730070, P. R. China [3]Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan

出　　处：《Acta Mathematica Sinica,English Series》2011年第10期2065-2072,共8页数学学报（英文版）

基　　金：The second author is supported by National Natural Science Foundation of China （Grant No. 10961021） and the Cultivation Fund of the Key Scientific and Technical Innovation Project, Ministry of Education of China Acknowledgements The authors wish to express their sincere thanks to the referees for their valuable suggestions.

摘　　要：In this paper we characterize semirings all of whose p-injective semimodules are injective. We also classify monoids all of whose p-injective acts are injective.In this paper we characterize semirings all of whose p-injective semimodules are injective. We also classify monoids all of whose p-injective acts are injective.

关 键 词：P-injective semimodule injective semimodule p-injective act injective act 

分 类 号：O152.7[理学—数学] O153.3[理学—基础数学]