Kyungpook Mathematical Journal 2021; 61(1): 33-48
Published online March 31, 2021
Copyright © Kyungpook Mathematical Journal.
OnWeakly Prime andWeakly 2-absorbing Modules over Non-commutative Rings
Nico J. Groenewald
Department of Mathematics, Nelson Mandela University, Port Elizabeth, South Africa
e-mail : firstname.lastname@example.org
Received: March 22, 2020; Revised: September 8, 2020; Accepted: October 8, 2020
Most of the research on weakly prime and weakly 2-absorbing modules is for modules over commutative rings. Only scatterd results about these notions with regard to non-commutative rings are available. The motivation of this paper is to show that many results for the commutative case also hold in the non-commutative case. Let
Keywords: 2-absorbing submodule, weakly 2-absorbing submodule, prime submodule, weakly prime submodule, weakly prime radical.