Geodesic
Annihilators and weak topologies on modules
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 2, pp. 529-532
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

For a bimodule $_{S}U_{R}$ we characterize modules $M_{R}$ and submodules $T$ of $_{S}\operatorname{Hom}_{R}(M,U)$ for which the double annihilator conditions hold. We study the weak topologies induced on $M$ by $T$. 
@article{FPM_1995_1_2_a12,
     author = {G. M. Brodskii},
     title = {Annihilators and weak topologies on modules},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {529--532},
     year = {1995},
     volume = {1},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a12/}
}
TY  - JOUR
AU  - G. M. Brodskii
TI  - Annihilators and weak topologies on modules
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 1995
SP  - 529
EP  - 532
VL  - 1
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a12/
LA  - ru
ID  - FPM_1995_1_2_a12
ER  - 
%0 Journal Article
%A G. M. Brodskii
%T Annihilators and weak topologies on modules
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1995
%P 529-532
%V 1
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a12/
%G ru
%F FPM_1995_1_2_a12
G. M. Brodskii. Annihilators and weak topologies on modules. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 2, pp. 529-532. http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a12/

[1] Wisbauer R., Foundations of Module and Ring Theory, Philadelphia, 1991 | MR

[2] Chase S. U., “Function topologies on abelian groups”, Ill. J. Math., 7:4 (1963), 583–608 | MR

[3] Brodskii G. M., “Funktory Hom i struktury podmodulei”, Tr. Mosk. mat. obschestva, 46 (1983), 164–186 | MR | Zbl

[4] Brodskii G. M., “O dualizmakh v modulyakh i uslovii $AB5^*$”, Uspekhi mat. nauk, 38:2 (1983), 201–202 | MR | Zbl

[5] Wu L. E. T., “A characterization of self-injective rings”, Ill. J. Math., 10:1 (1966), 61–65 | MR | Zbl

[6] Chandler R. E., Koh K., “Applications of a function topology on rings with unit”, Ill. J. Math., 11:4 (1967), 580–585 | MR | Zbl

[7] Brodskii G. M., “O slabykh topologiyakh v modulyakh”, Topologicheskaya algebra, Tez. lekts. i nauchn. soobsch. Respubl. shkoly, Kishinev, 1988, 16