IJPAM: Volume 106, No. 1 (2016)

KRASNER TERNARY HYPER FIELDS AND MORE
CHARACTERIZATION OF PRIME AND MAXIMAL
HYPER IDEALS IN KRASNER TERNARY HYPER RINGS

Jovannie R. Castillo
Mathematics Department
College of Arts and Sciences
La Salle University
Ozamiz City, 5200, PHILIPPINES


Abstract. In 2010, Davvaz and Mirvakili introduced a new class of hyper structure called an $\left(m,n\right)$-Krasner hyperring, constructed its quotient class where the hyper ideal considered in the said construction is normal, and proved the isomorphism theorems. Recently, Castillo and Vilela investigated the $\left(2,3\right)$-Krasner hyperring called a Krasner ternary hyperring, and constructed its quotient class via another relation where the hyper ideal considered in the construction is not necessarily normal. In this article, a Krasner ternary hyper field is defined and characterized. Moreover, more structure results on prime and maximal hyper ideals not found in [#!ARNA!#] are established.

Received: September 9, 2015

AMS Subject Classification: 03E20, 05C25

Key Words and Phrases: Krasner ternary hyperring, Krasner -hyperring

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DOI: 10.12732/ijpam.v106i1.8 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: 106
Issue: 1
Pages: 101 - 113


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