Geodesic
Radicals that are generated or cogenerated by bimodules
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2010), pp. 47-52 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We obtain the criteria which permit one to determine whether a radical of the category of modules can be represented as the one generated or cogenerated by a class of bimodules. For an arbitrary module we describe the bimodules that are to some extent an “approximation” of this module.
Mots-clés : module, bimodule, homomorphism.
Keywords: radical 
@article{VTGU_2010_3_a5,
     author = {E. A. Timoshenko},
     title = {Radicals that are generated or cogenerated by bimodules},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {47--52},
     year = {2010},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2010_3_a5/}
}
TY  - JOUR
AU  - E. A. Timoshenko
TI  - Radicals that are generated or cogenerated by bimodules
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2010
SP  - 47
EP  - 52
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VTGU_2010_3_a5/
LA  - ru
ID  - VTGU_2010_3_a5
ER  - 
%0 Journal Article
%A E. A. Timoshenko
%T Radicals that are generated or cogenerated by bimodules
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2010
%P 47-52
%N 3
%U http://geodesic.mathdoc.fr/item/VTGU_2010_3_a5/
%G ru
%F VTGU_2010_3_a5
E. A. Timoshenko. Radicals that are generated or cogenerated by bimodules. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2010), pp. 47-52. http://geodesic.mathdoc.fr/item/VTGU_2010_3_a5/

[1] Timoshenko E. A., “$T$-radikaly i $E$-radikaly v kategorii modulei”, Sib. matem. zhurn., 45:1 (2004), 201–210 | MR | Zbl

[2] Kashu A. I., Radikaly i krucheniya v modulyakh, Shtiintsa, Kishinëv, 1983 | MR

[3] Mishina A. P., Skornyakov L. A., Abelevy gruppy i moduli, Nauka, M., 1969 | MR | Zbl

[4] Pierce R. S., “E-modules”, Abelian Group Theory, Contemp. Math., 87, Amer. Math. Soc., Providence, 1989, 221–240 | DOI | MR

[5] Krylov P. A., Prikhodovskii M. A., “Obobschënnye T-moduli i E-moduli”, Universalnaya algebra i eë prilozheniya, Peremena, Volgograd, 2000, 153–169

[6] Timoshenko E. A., “T-radikaly, porozhdaemye bimodulyami”, Vestnik SamGU. Estestvennonauchnaya seriya, 2009, no. 8(74), 88–93 | MR

[7] Timoshenko E. A., “O porozhdaemosti T-radikalov bimodulyami”, Vestnik Tomskogo gosuniversiteta. Matematika i mekhanika, 2010, no. 2(10), 16–19 | MR