MODULES OVER LOCALIZED GROUP RINGS FOR GROUPS MAPPING ONTO FREE GROUPS

Author (s) : A.MALARSELVI and M.PARIMALA

---

Abstract :
In this paper,all Önitely-generated submodules of  free. An analogous statement for crossed products  F, with D a division ring. With this result in hand, we prove that if G = H of the semi-direct product of H with F, so that the group ring D[G] may be localized at the sub-group ring k[H, hen the resulting localized group ring. All groups are written multiplicatively, with identity “e”. A ring which is free from zero divisors, with no assumption made about commutativity. The term division ring used to describe a ring where all non-zero elements are invertible, while the term is reserved for commutative division rings. Modules are assumed to be left modules.

Keywords : Analogous statement, Groups Mapping

Conference Date : 30/08/2019

Pages : 165

Paper ID : 19163