Geodesic
One Sided SF-Rings with Certain Chain Conditions
Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 272-277

Voir la notice de l'article provenant de la source Cambridge University Press

We prove that with some weak chain conditions, left SF-rings are semisimple Artinian or regular. We also prove that MERT left SF-rings are really regular.
DOI : 10.4153/CMB-1994-040-8
Mots-clés : 16E50 
Xiao, Yufei. One Sided SF-Rings with Certain Chain Conditions. Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 272-277. doi: 10.4153/CMB-1994-040-8
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[1] 1. Anderson, F. W. and Fuller, K. R., Rings and categories of modules, Springer-Verlag, 1974. Google Scholar

[2] 2. Baccella, G., Von Neumann regularity of V-rings with Artinian primitive factor rings, Proc. Amer. Math. Soc. (3) 103(1988), 747–749. Google Scholar

[3] 3. Fuller, K. R., Artinian rings, Murcia, Universidad, Secretariado de Publicaciones, 1989. Google Scholar

[4] 4. Goodearl, K. R., Ring theory, Nonsingular rings and modules, 1976. Google Scholar

[5] 5. Goodearl, K. R., Von Neumann regular rings, Pitman, London-San Francisco-Melbourne, 1979. Google Scholar

[6] 6. Goodearl, K. R., Singular torsion and the splitting properties, Mem. Amer. Math. Soc. 124, (1972). Google Scholar

[7] 7. Goursaud, J. M. and Valette, J., Sur l'enveloppe injective des anneaux de groupes régulier, Soc. France 103(1975), 91–102. Google Scholar

[8] 8. Kertesz, A., Vorlesungen iiber artinsche ringe, Budapest, 1968. Google Scholar

[9] 9. Ming, Y. C., On biregularity and regularity, Comm. Algebra (3) 20(1992), 749–759. Google Scholar

[10] 10. Ramamurthi, V. S., On the injectivity and flatness of certain cyclic modules, Proc. Amer. Soc. 48(1975), 21–25. Google Scholar

[11] 11. Rege, M. K., On Von Neumann regular rings and SF-rings, Math. Japon. 31(1986), 927–936. Google Scholar

[12] 12. Zhang, Z. and Du, X., Von Neumann regularity of SF-rings, Comm. Algebra, to appear. Google Scholar

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