Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897586 | Journal of Pure and Applied Algebra | 2018 | 23 Pages |
Abstract
We also uncover some hidden connections between these lifting properties. For instance, if regular elements lift modulo an ideal, then so do isomorphic idempotents. The converse is true when units lift. The logical relationships between these and several other important lifting properties are completely characterized. Along the way, multiple examples are developed that illustrate limitations to the theory.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Dinesh Khurana, T.Y. Lam, Pace P. Nielsen,