International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 8, Pages 78135, 12 p.
doi:10.1155/IJMMS/2006/78135
C-compactness modulo an ideal
M.K. Gupta1
and T. Noiri2
1Department of Mathematics, Faculty of Science, Ch. Charan Singh University, Meerut 250004, India
22949-1, Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken 869-5142, Japan
Abstract
We investigate the concepts of quasi-H-closed modulo an ideal which generalizes quasi-H-closedness and C-compactness modulo an ideal which simultaneously generalizes C-compactness and compactness modulo an ideal. We obtain a characterization of maximal C-compactness modulo an ideal. Preservation of C-compactness modulo an ideal by functions is also investigated.