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Semiprimitive rings with atomic lattices of left ideals. (English. Russian original) Zbl 0174.33002

Sib. Math. J. 8(1967), 720-722 (1968); translation from Sib. Mat. Zh. 8, 947-951 (1967).
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[1] N. Jacobson, Structure of Rings [Russian translation], ILI, Moscow (1961). · Zbl 0098.25901
[2] L. A. Skornyakov. Dedekind Lattices with Complements and Regular Rings [in Russian], Fizmatgiz, Moscow (1961). · Zbl 0115.02802
[3] R. E. Johnson, The Extended Centralizer of a Ring Over a Module, Proc. Amer. Math. Soc.,2, No. 6, 891–895 (1951). · Zbl 0044.02204 · doi:10.1090/S0002-9939-1951-0045695-9
[4] T. Kando, Strong Regularity in Arbitrary Rings, Nagoya Math. J.,4, No. 1, 51–53 (1952). · Zbl 0081.26402
[5] Y. Utumi, On Quotient Rings, Osaka Math. J.,8, No. 1, 1–18 (1956). · Zbl 0070.26601
[6] S. U. Chase and C. Faith, Quotient Rings and Direct Products of Full Linear Rings, Math. Zeits, 88, No. 3, 250–264 (1965). · Zbl 0133.29003 · doi:10.1007/BF01111683
[7] Y. Utumi, On Continuous Rings and Self-Injective Rings, Trans. Amer. Math. Soc.118, No. 1, 158–173 (1965). · Zbl 0144.27301 · doi:10.1090/S0002-9947-1965-0174592-8
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