IJPAM: Volume 94, No. 5 (2014)

PRIME RADICAL IN TERNARY HEMIRINGS

R.D. Giri$^1$, B.R. Chide$^2$
$^1$ 128A, Aakar Nagar, Katol Road, Nagpur-440013, INDIA
$^2$Department of Mathematics
Shri Ramdeobaba College of Engineering and Management
Nagpur, 440013, INDIA


Abstract. A hemiring is already defined by Golan. We generalize this concept by changing multiplication operation from binary to ternary one. This article studies in detail all basic notions like prime and semiprime ideal, primary ideal, prime radical of an ideal in a ternary hemiring and prime radical of ternary hemiring.

Received: November 26, 2013

AMS Subject Classification: 16Y60, 16Y30

Key Words and Phrases: ternary hemiring, prime ideal, semiprime ideal, strongly irreducible ideal, primary ideal,prime radical

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DOI: 10.12732/ijpam.v94i5.1 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: 2014
Volume: 94
Issue: 5
Pages: 631 - 647


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