Geodesic
Completeness and stability of the class of injective
Algebra i logika, Tome 59 (2020) no. 1, pp. 48-65

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We deal with questions concerning the completeness and stability of a class of injective acts and a class of weakly injective acts over a monoid $S$. The concepts of an injective $S$-act and of a weakly injective $S$-act are analogs of the concept of an injective module. In the theory of modules, the corresponding notions of injectivities in accordance with Baer's criterion coincide. Also we will look into completeness and stability of a class of principally weakly injective $S$-acts and a class of fg-weakly injective $S$-acts, which are analogs of $p$-injective modules and finitely injective modules.
Keywords: injective $S$-act, weakly injective $S$-act, principally weakly injective $S$-act, fg-weakly injective $S$-act, complete class
Mots-clés : stable class. 
@article{AL_2020_59_1_a2,
     author = {E. L. Efremov},
     title = {Completeness and stability of the class of injective},
     journal = {Algebra i logika},
     pages = {48--65},
     publisher = {mathdoc},
     volume = {59},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2020_59_1_a2/}
}
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E. L. Efremov. Completeness and stability of the class of injective. Algebra i logika, Tome 59 (2020) no. 1, pp. 48-65. http://geodesic.mathdoc.fr/item/AL_2020_59_1_a2/