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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Original Article

Kyungpook Mathematical Journal 2006; 46(3): 357-365

Published online September 23, 2006

Copyright © Kyungpook Mathematical Journal.

A Note on Regular Ternary Semirings

Tapan Kumar Dutta, Sukhendu Kar

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

Abstract

This paper is a sequel of our previous paper ~cite{1}. In this paper, we introduce the notions of regular ideal and partial ideal ($p$-ideal) in a ternary semiring and using these two notions we characterize regular ternary semiring.

Keywords: ternary semiring, regular ternary semiring, (left, right, lateral) ideal, regular ideal, partial ideal ($p$-ideal)