International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 725270, 10 pages
http://dx.doi.org/10.1155/2012/725270
Research Article

A Kind of Compact Quantum Semigroups

Maysam Maysami Sadr

Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS of Zanjan), P.O. Box 45195-1159, Zanjan 45137-66731, Iran

Received 20 March 2012; Revised 1 September 2012; Accepted 13 September 2012

Academic Editor: Adolfo Ballester-Bolinches

Copyright © 2012 Maysam Maysami Sadr. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We show that the quantum family of all maps from a finite space to a finite-dimensional compact quantum semigroup has a canonical quantum semigroup structure.