Title of article :
Hollow Modules With Respect to an Arbitrary Submodule
Author/Authors :
al-bahrani, b. h. university of baghdad - college of science - department of mathematics, Iraq , al-redeeni, h. s. university of baghdad - college of science - department of mathematics, Iraq
Abstract :
In this paper ,we introduce hollow modules with respect to an arbitrary submodule .Let M be a non-zero module and T be a submodule of M .We say that M is aT-hollow module if every proper submodule K of M such that T ⊈ K is a T-small submodule of M .We investigate the basic properties of a T-hollow module .
Keywords :
T , small submodule , T , maximal submodule , T , radical submodule
Journal title :
Iraqi Journal Of Science
Journal title :
Iraqi Journal Of Science
