Time

Oct 12 2012 - 4:45pm - 5:45 pm

Location

MW 154

Speaker

Cosmin Roman (Ohio State University-Lima)

Abstract

In a recently submitted paper, Lee, Zhang and myself have introduced a new class of rings, which we call rudimentary rings. A ring is rudimentary if it admits a faithful module whose endomorphism ring is a division ring. This class properly contains the class of primitive rings. In my talk I will begin with information on what is known so far about primitive rings. This will be followed with description and properties of rudimentary rings presenting new results and examples. Examples will also be presented which contrast this class of rings with that of the class of primitive rings, among others (this is a joint work with G. Lee and X. Zhang).