20 Apr 2012: Seminar Nguyen Van Sanh

Algebra Research Group ITB have been organized an Algebra Seminar

Friday, April 20th 2012
Time : 13.00 – 15.00
Place : Ruang Seminar I.2, Mathematics Building, Labtek III ITB
Speaker : Prof. Nguyen Van Sanh, Mahidol University Thailand
Title : On FBN-modules, IFP-modules and Jacobson Conjecture

On FBN-modules, IFP-modules and Jacobson Conjecture
Nguyen van Sanh
Department of Mathematics,Faculty of Science, Mahidol University,
Bangkok 10400, Thailand, email: frnvs@mahidol.ac.th

Abstract:
In this report, we present some results on FBN-modules and IFP-modules as generalizations of FBN-rings and IFP-rings. We prove that if M is a quasi projective, finitely generated fully bounded module right R-module which is a self-generator and if SM and MR are Noetherian, then the intersection of J^k(S),
from k = 0 to infinity, is zero. We also prove a generalization of Anderson Theorem, following that if M is a fully IFP-module which is a self-generator and if every minimal prime submodule over a fully invariant submodule U is finitely M-generated, then there are only a finitely many minimal prime submodules over U.