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REFERENCES
H. H. Brun s, “Rings with distributive lattice of right ideals, ”J. Algebra, 40, No. 2, 392–400 (1976).
C. Faith, Algebra II, Springer-Verlag, Berlin–New York (1976).
W. Menzel, “¨Uber den Unter ruppenverband einer Abelschen Operatorgruppe. Teil II. Distributive und M-Verbande von Unter ruppen einer Abelschen Operator ruppe, ”Math. Z., 74, No. 1, 52–65 (1960).
G. E. Puninski, “An example of a distributive non-localizable rin, ”preprint (2001).
B. Stenstr ¨om, Rings of Quotients: An Introduction to Methods of Ring Theory, Springer-Verlag, Berlin–New York (1975).
W. Stephenson, “Modules whose lattice of submodules is distributive, ”Proc. London Math. Soc., 28, No. 2, 291–310 (1974).
A. A. Tuganbaev, Semidistributive Modules and Rings, Kluwer Academic, Dordrecht–Boston–London (1998).
A. A. Tuganbaev, Distributive Modules and Related Topics, Gordon and Breach, Amsterdam (1999).
A. A. Tuganbaev, “Orders in uniserial rin s, ” preprint (2001).
A. A. Tuganbaev, “The structure of distributive rings, ”preprint (2001).
A. A. Tuganbaev, “Modules over endomorphism rin s, ”tpreprint (2001).
R. Wisbauer, Foundations of Module and Rin Theory, Gordon and Breach, Philadelphia (1991).
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Tuganbaev, A.A. Distributive Rings, Uniserial Rings of Fractions, and Endo-Bezout Modules. Journal of Mathematical Sciences 114, 1185–1203 (2003). https://doi.org/10.1023/A:1021977603746
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DOI: https://doi.org/10.1023/A:1021977603746