Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589163 | Journal of Algebra | 2007 | 15 Pages |
Abstract
Given any ring R with 1∈R and any family F of left ideals of R, we define for all X∈F}. We call a ring R left rigid if End(R+,Fℓ)=R where Fℓ is the family of all left ideals of R. We will present numerous examples of rings that are left rigid or not left rigid but End(R+,Fℓ) is a left rigid ring.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory