A Note on the Arrangement of Subgroups in the Automorphism Groups of Submodule Lattices of Free Modules

Details A Note on the Arrangement of Subgroups in the Automorphism Groups of Submodule Lattices of Free Modules A Note on the Arrangement of Subgroups in the Automorphism Groups of Submodule Lattices of Free Modules

1999-02-18

arxiv.org/abs/math/9902107v3

Mathematics

Rings and Algebras

AmsTeX, 6 pages, compile twice; revised version of the Bielefeld preprint 99-008

Scientific paper

A complete description of subgroups in the general linear group over a semilocal ring containing the group of diagonal matrices was obtained by Z.I.Borewicz and N.A.Vavilov. It is shown in the present paper that a similar description holds for the intermediate subgroups of the group of all automorphisms of the lattice of right submodules of a free finite rank R-module over a simple Artinian ring containing the group consisting of those automorphisms which leave invariant an appropriate sublattice.

Affiliated with

Also associated with

No associations

Rating

A Note on the Arrangement of Subgroups in the Automorphism Groups of Submodule Lattices of Free Modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Note on the Arrangement of Subgroups in the Automorphism Groups of Submodule Lattices of Free Modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Note on the Arrangement of Subgroups in the Automorphism Groups of Submodule Lattices of Free Modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-90286