Literature Cited
M. Jaegerman and J. Krempa, “Rings in which ideals are annihilators,” Fund. Math.,76, No. 2, 95–107 (1972).
L. Herman, “Semiorthogonality in Rickart rings,” Pac. J. Math.,39, No. 1, 179–186 (1971).
B. Brown and N. H. McCoy, “The maximal regular ideal of rings,” Proc. Am. Math. Soc.,1, No. 2, 165–171 (1950).
M. A. Satyanarayana, “A note on PP-rings,” Math. Scand.,25, No. 1, 105–108 (1968).
L. A. Skornyakov, “Homological classification of rings,” Mat. Vestn.,4 (19), No. 4, 415–434 (1967).
C. Faith, Algebra: Rings, Modules, and Categories, Springer-Verlag (1973).
N. Jacobson, Structure of Rings, Amer. Math. Soc., Providence, R. I. (1956).
Y. Utumi, “On continuous regular rings and semisimple self-injective rings,” Can. J. Math.,12, 597–605 (1960).
S. A. Steinberg, “Rings of quotients of rings without nilpotent elements,” Pac. J. Math.,49, No. 2, 493–506 (1973).
L. Jeremy, “Modules et anneaux quasicontinuous,” Can. Math. Bull.,17, No. 2, 217–228 (1974).
L. W. Small, “Semihereditary rings,” Bull. Am. Math. Soc.,73, No. 5, 656–658 (1967).
M. Ya. Finkel'shtein, “PP-rings with the annihilator condition,” Vestn. Mosk. Gos. Univ., Ser. Mat.-Mekh., No. 4, 12–14 (1972).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 24, No. 6, pp. 160–167, November–December, 1983.
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Finkel'shtein, M.Y. Rings in which annihilators form a sublattice of the lattice of ideals. Sib Math J 24, 955–960 (1983). https://doi.org/10.1007/BF00970321
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DOI: https://doi.org/10.1007/BF00970321