CLOSED WEAK d-SUPPLEMENTED MODULES

Y. Talebi (Iran) and A. R. Moniri Hamzekolaei (Iran)

Received October 11, 2008

References:

[1] Khaled Al-Takhman, Cofinitely d-supplemented and cofinitely d-semiperfect modules, Int. J. Algebra 1(9-12) (2007), 601-613. [2] F. W. Anderson and K. R. Fuller, Rings and categories of modules, Graduate Texts in Mathematics, Vol. 13, Springer-Verlag, New York, 1992. [3] A. W. Chatters and S. M. Khuri, Endomorphism rings of modules over nonsingular CS rings, J. London Math. Soc. (2) 21(3) (1980), 434-444. [4] K. R. Goodearl, Ring Theory, Nonsingular Rings and Modules, Marcel Dekker, New York, Basel, 1976. [5] Zeng Qing-Yi and Shi Mei-Hua, On closed weak supplemented modules, J. Zhejiang Univ. 7(2) (2006), 210-215. [6] R. Wisbauer, Modules and algebras, Pitman Monographs and Surveys in Pure and Applied Mathematics, 81, Longman, 1996. [7] Y. Zhou, Generalizations of perfect, semiperfect, and semiregular rings, Algebra Colloq. 7(3) (2000), 305-318.

Keywords and phrases: closed submodules, closed weak d-supplemented, d-small submodule.