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.
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.
文摘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.
