鲁琦, 鲍宏伟, 赵玉梅. 模和环的JGP−内射性[J]. 云南大学学报(自然科学版), 2022, 44(4): 675-680. doi: 10.7540/j.ynu.20220001
引用本文: 鲁琦, 鲍宏伟, 赵玉梅. 模和环的JGP−内射性[J]. 云南大学学报(自然科学版), 2022, 44(4): 675-680. doi: 10.7540/j.ynu.20220001
shu
LU Qi, BAO Hong-wei, ZHAO Yu-mei. JGP-injectivity of modules and rings[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(4): 675-680. DOI: 10.7540/j.ynu.20220001
Citation: LU Qi, BAO Hong-wei, ZHAO Yu-mei. JGP-injectivity of modules and rings[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(4): 675-680. DOI: 10.7540/j.ynu.20220001
shu

模和环的JGP−内射性

JGP-injectivity of modules and rings

    摘要
  • 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.

     

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