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In 2010, Davvaz and Mirvakili introduced a new class of hyper structure called an (m,n)-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 (2,3)-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 (1) are established.

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