Atlas home || Conferences | Abstracts | about Atlas

All Ireland Algebra Days 2001
May 16-19, 2001
Queen's University Belfast
Belfast, Northern Ireland, UK

Organizers
Tom Laffey (Dublin), Des MacHale (Cork), Martin Mathieu (Belfast; Chair), Martin Newell (Galway)

View Abstracts
Conference Homepage

On Algebraic Closure with Combinatoric Applications
by
Kar Ping Shum
Chinese University of Hong Kong

In this talk, we will discuss the algebraic closure operators and its compositions with other operators such as rim operators, boundary operators, interior operators and side operations etc. Interesting applications of closure operators acting on sets, semilattices, lattices, abstract algebras, numbers sets and Galois connection between posets will be introduced and mentioned. Various components of the boundary derived from algebraic closure will be displayed. In particular, a solution of an open problem of Kuratowski type proposed by P.C. Hammer in 1960 will be presented.

Date received: April 9, 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 # cage-27.