Completely decomposable Abelian groups with clean endomorphism rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 105-108
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
Conditions for cleanness of endomorphism rings of completely decomposable Abelian groups are established.
[1] Krylov P. A., Mikhalëv A. V., Tuganbaev A. A., Svyazi abelevykh grupp i ikh kolets endomorfizmov, Tomskii gos. univ., Tomsk, 2002
[2] Tuganbaev A. A., Teoriya kolets, MTsNMO, M., 2009
[3] Fuks L., Beskonechnye abelevy gruppy, v. 1, Mir, M., 1974
[4] Fuks L., Beskonechnye abelevy gruppy, v. 2, Mir, M., 1977
[5] Camillo V. P., Khurana D., Lam T. Y., Nicholson W. K., Zhou Y., “Continuous modules are clean”, J. Algebra, 304 (2006), 94–111 | DOI | MR | Zbl
[6] Han J., Nicholson W. K., “Extensions of clean rings”, Commun. Algebra, 29:6 (2001), 2589–2595 | DOI | MR | Zbl