IJPAM: Volume 108, No. 3 (2016)

PRIME RADICAL AND RADICAL IDEAL
IN TERNARY SEMIRING

Merry Sultana$^1$, Sujit Kumar Sardar$^3$, Jayasri Sircar$^3$
$^1$Department of Mathematics
Lady Brabourne College
Kolkata, W.B., INDIA
$^2$Department of Mathematics
Jadavpur University
Kolkata, INDIA
$^3$Department of Mathematics (Advanced Research Centre)
Lady Brabourne College
Kolkata, W.B., INDIA


Abstract. The main purpose of this paper is to obtain some important properties of prime radical of an ideal in a ternary semiring. Some special properties of prime radical and radical ideal are also obtained in the case when the ideals are k-ideals and h-ideals.

Received: May 9, 2016

AMS Subject Classification: 16Y60, 16Y30

Key Words and Phrases: ternary semiring, radical ideal, radical k-ideal, radical h-ideal

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DOI: 10.12732/ijpam.v108i3.5 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 3
Pages: 523 - 531


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