Modules with the Beachy–Blair Condition

Generalized Malcev-Neumann Series Modules with the Beachy-Blair Condition

“…The main aim of the present paper is to investigate conditions for the Malcev-Neumann series modules (( )) (( ; ; )) to satisfy the right Beachy-Blair condition. The proofs of our results obtained here are very similar to those obtained by Ouyang et al in [8] and by Salem et al in [9].…”

“…Ouyang et al in [8] generalized the right Beachy-Blair condition from rings into modules as follows: A rightmodule is called module with the Beachy-Blair condition provided that if the right annihilator of a submodule of is zero, then there exists a finite subset 0 ⊆ such that r ( 0 ) = 0.…”