Geodesic
On pseudo-injective and pseudo-projective modules
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2018), pp. 57-67

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In this work we obtain characterizations of $QI$ rings and semisimple rings using quasi-injective and pseudo-injective modules respectively. We define and construct the pseudo-injective hull of a module and we give sufficient conditions on a ring to have the following properties: every pseudo-injective module is pseudo-projective and every pseudo-projective module is pseudo-injective. We also give some properties of the big lattice of classes of modules being closed under submodules and quasi-injective hulls. 
@article{BASM_2018_3_a4,
     author = {Alejandro Alvarado-Garc{\'\i}a and C\'esar Cejudo-Castilla and Tania Gabriela P\'erez-Quijano and Ivan Fernando Vilchis-Montalvo},
     title = {On pseudo-injective and pseudo-projective modules},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {57--67},
     publisher = {mathdoc},
     number = {3},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2018_3_a4/}
}
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%A Ivan Fernando Vilchis-Montalvo
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Alejandro Alvarado-García; César Cejudo-Castilla; Tania Gabriela Pérez-Quijano; Ivan Fernando Vilchis-Montalvo. On pseudo-injective and pseudo-projective modules. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2018), pp. 57-67. http://geodesic.mathdoc.fr/item/BASM_2018_3_a4/