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Some homological characterizations of semigroups and semirings
Authors:Javed Ahsan  Zhong Kui Liu  Muhammad Shabir
Institution: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
Abstract: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.
Keywords:P-injective semimodule  injective semimodule  p-injective act  injective act
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