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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 18, Pages 3015-3023
doi:10.1155/IJMMS.2005.3015

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

Abstract

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.