Abstract:

A module is uniserial if its lattice of submodules is linearly ordered under inclusion and is serial if it is a direct sum of uniserial modules.  A ring R is said to satisfy the left serial embedding property (left SEP) if every left R-module is (isomorphic to) a submodule of a serial R-module, or equivalently, if every left R-module can be embedded in a serial R-module. In this talk, Jacobson semisimple rings with the SEP is discussed.

This is a joint work with my thesis advisors Dr. Miodrag Iovanov and Dr. Victor Camillo