Notions of Size in Partial Semigroups
by
Jillian McLeod
Howard University

There is an emerging interest in the study of partial operations as a separate area of algebra. Partial operations are investigated frequently in connection to the theory of composition of mappings, category theory, coding theory, and information theory, as well as other areas of mathematics. Often it is difficult, if not impossible, to make direct transfers of results from total operations, (operations that are everywhere defined), to partial operations. Thus, it sometimes becomes necessary to modify the ``usual" definition or characterization of a notion for the partial operation. This can produce new and interesting questions that are specific to the partial case. We consider some of the questions related to partial operations in the context of notions of size in compact right topological semigroups.

Date received: May 21, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagw-74.