Geodesic
Structure of distributive rings
Sbornik. Mathematics, Tome 193 (2002) no. 5, pp. 745-760 Cet article a éte moissonné depuis la source Math-Net.Ru

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The study of distributive rings in which all divisors of zero belong to the Jacobson radical is reduced to the study of distributive orders in division rings and uniserial rings with invertible non-divisors of zero. 
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A. A. Tuganbaev. Structure of distributive rings. Sbornik. Mathematics, Tome 193 (2002) no. 5, pp. 745-760. http://geodesic.mathdoc.fr/item/SM_2002_193_5_a6/

[1] Bessenrodt K., Brungs H. H., Törner G., “Right chain rings, I”, Schriftenreihe des Fachbereich Mathematik, Universität Duisburg, Duisburg, 1990

[2] Bessenrodt K., Brungs H. H., Törner G., “Right chain rings. IIa; IIb”, Schriftenreihe des Fachbereich Mathematik, Universität Duisburg, Duisburg, 1992

[3] Behrens E. A., Ring theory, Academic Press, New York, 1972 | MR

[4] Kon P., Svobodnye koltsa i ikh svyazi, Mir, M., 1975 | MR

[5] Tuganbaev A. A., Semidistributive modules and rings, Kluwer Acad. Publ., Dordrecht, 1998 | MR | Zbl

[6] Tuganbaev A. A., Distributive modules and related topics, Gordon and Breach, Amsterdam, 1999 | MR | Zbl

[7] Stephenson W., “Modules whose lattice of submodules is distributive”, Proc. London Math. Soc. (3), 28:2 (1974), 291–310 | DOI | MR | Zbl

[8] Brungs H. H., “Rings with distributive lattice of right ideals”, J. Algebra, 40:2 (1976), 392–400 | DOI | MR | Zbl

[9] Stenström B., Rings of quotients: an introduction to methods of ring theory, Springer-Verlag, Berlin, 1975 | MR | Zbl

[10] Menzel W., “Über den Untergruppenverband einer Abelschen Operatorgruppe. II: Distributive und M-Verbande von Untergruppen einer Abelschen Operatorgruppe”, Math. Z., 74:1 (1960), 52–65 | DOI | MR | Zbl

[11] Puninskii G. E., “Primer distributivnogo nelokalizuemogo koltsa”, Fundamentalnaya i prikladnaya matematika (to appear)