@article{Zhanmin_2013, title={Almost MGP-Injective Rings}, volume={65}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2527}, abstractNote={A ring <em class="a-plus-plus">R</em> is called right almost MGP-injective (or AMGP-injective) if, for any 0 ≠ <em class="a-plus-plus">a</em> ∈ <em class="a-plus-plus">R</em>, there exists an element <em class="a-plus-plus">b</em> ∈ <em class="a-plus-plus">R</em> such that <em class="a-plus-plus">ab</em> = <em class="a-plus-plus">ba</em> ≠ 0 and any right <em class="a-plus-plus">R</em>-monomorphism from <em class="a-plus-plus">abR</em> to <em class="a-plus-plus">R</em> can be extended to an endomorphism of <em class="a-plus-plus">R</em&gt;. In the paper, several properties of these rings are establshed and some interesting results are obtained. By using the concept of right AMGP-injective rings, we present some new characterizations of QF-rings, semisimple Artinian rings, and simple Artinian rings.}, number={11}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Zhanmin, Zhu}, year={2013}, month={Nov.}, pages={1476–1481} }