Geodesic
Zelmanowitz density theorem for rings graded by semigroup
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 2, pp. 373-385.

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Rings graded by semigroup and modules graded by polygon over semigroup are considered in the paper. Notions of graded critically compressible module and quasi-injective hull are introduced. The structure of the corresponding objects is studied. The density theorem for graded weakly primitive ring is proved. 
@article{FPM_2001_7_2_a4,
     author = {S. V. Zelenov},
     title = {Zelmanowitz density theorem for rings graded by semigroup},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {373--385},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_2_a4/}
}
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S. V. Zelenov. Zelmanowitz density theorem for rings graded by semigroup. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 2, pp. 373-385. http://geodesic.mathdoc.fr/item/FPM_2001_7_2_a4/