Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 2, pp. 373-385
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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/
@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},
year = {2001},
volume = {7},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_2_a4/}
}
TY - JOUR
AU - S. V. Zelenov
TI - Zelmanowitz density theorem for rings graded by semigroup
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2001
SP - 373
EP - 385
VL - 7
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_2001_7_2_a4/
LA - ru
ID - FPM_2001_7_2_a4
ER -
%0 Journal Article
%A S. V. Zelenov
%T Zelmanowitz density theorem for rings graded by semigroup
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2001
%P 373-385
%V 7
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_2001_7_2_a4/
%G ru
%F FPM_2001_7_2_a4
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.
