模和环的JGP−内射性
JGP-injectivity of modules and rings
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摘要: 对JGP−内射模进行等价刻画,研究了JGP−内射模和JGP−内射环的性质. 证明了任意单奇异左R−模是JGP−内射的环的半本原性和非奇异性.Abstract: JGP-injective modules are equivalently characterized, property of JGP-injective modules and JGP-injective rings are studied. Semiprimitivity and non-singularity of rings whose every simple singular left R-module is JGP-injective are proved.