International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 18, Pages 3015-3023

On quasi-ideals and bi-ideals in ternary semirings

S. Kar

Department of Pure Mathematics, University of Calcutta, 35 Ballygunge Circular Road, Kolkata 700019, India

Received 31 May 2005

Copyright © 2005 S. Kar. 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.


We introduce the notions of quasi-ideal and bi-ideal in ternary semirings and study some properties of these two ideals. We also characterize regular ternary semiring in terms of these two subsystems of ternary semirings.