Copyright © 2012 Dibyendu De and Ram Krishna Paul. 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.
It is known that for an IP* set in and a sequence there exists a sum subsystem of such that . Similar types of results also have been proved for central* sets. In this present work we will extend the results for dense subsemigroups of .