Title of article :
ON 2-ABSORBING MODULES OVER NONCOMMUTATIVE RINGS
Author/Authors :
Groenewald, N. J Department of Mathematics - Faculty of Science - Nelson Mandela University - Port Elizabetyh, South Africa , Nguyen, Bac T. Nguyen Tat Thanh University - Nguyen Tat Thanh street Ho Chi Minh city - Vietnam and Dept. of Basic Science Thainguyen - Univ. of Economics and Business Administration Thainguyen Vietnam
Abstract :
Let R be a noncommutative ring with identity. We define the
notion of a 2-absorbing submodule and show that if the ring is commutative
then the notion is the same as the original definition of that of A. Darani and
F. Soheilnia. We give an example to show that in general these two notions
are different. Many properties of 2-absorbing submodules are proved which
are similar to the results for commutative rings.
Keywords :
2-Absorbing submodule , strong 2-absorbing submodule , prime submodule , completely prime submodule
Journal title :
International Electronic Journal of Algebra
