JP Journal of Algebra, Number Theory and Applications
Volume 13, Issue 2, Pages 193 - 208
(April 2009)
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CLOSED WEAK d-SUPPLEMENTED MODULES
Y. Talebi (Iran) and A. R. Moniri Hamzekolaei (Iran)
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Abstract: A module Mis called closed weak d-supplemented if for any closed submodule Nof M, there is a submodule Kof Msuch that and Any direct summand of closed weak d-supplemented module is also closed weak d-supplemented. Any nonsingular image of closed weak d-supplemented module is closed weak d-supplemented. Nonsingular V-rings in which all nonsingular modules are closed weak d-supplemented are also characterized in Section 4. |
Keywords and phrases: closedsubmodules,closedweakd-supplemented,d-small submodule. |
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