Paper

Mathware & Soft Computing 13 (2006) 37-58 Dual Commutative Hyper K-Ideals of typesetters depicted object 1 in Hyper K-algebras of Order 3 L. Torkzadeh1 and M.M. Zahedi2 1 Dept. Math., Muslim Azad Univ. of Kerman, Kerman, Iran Dept. Math., Shahid Bahonar Univ. of Kerman, Kerman, Iran ltorkzadeh@yahoo.com zahedi mm@mail.uk.ac.ir, http://math.uk.ac.ir/?zahedi Abstract In this note we classify the skip over hyper K-algebras of assemble 3, which have D1 = {1}, D2 = {1, 2} and D3 = {0, 1} as a doubled independent hyper K-ideal of type 1. In this dismantle up we show that there are such non-isomorphic spring hyper K-algebras. 2000 maths Subject Classi?cation. 03B47, 06F35, 03G25 Key words and phrases: hyper K-algebra, dual commutative hyper K-ideal. 2 1 Introduction The hyperalgebraic social structure conjecture was introduced by F. Marty [5] in 1934. Imai and Iseki [3] in 1966 introduced the notion of a BCK-algebra. Borzooei, Jun and Zahedi et.al. [2,8] utili ze the hyperstructure to BCK-algebras and introduced the concept of hyper K-algebra which is a generalization of BCK-algebra. In [7]we de?ned the notions of dual commutative hyper K-ideals of type 1 and type 2 (Brie?y DCHKI ? T 1, T 2). Now we follow it and determine each(prenominal) bounded hyper K-algebras of order 3 which have DCIHKI ? T 1. 2 Preliminaries De?nition 2.1.

[2] permit H be a nonempty set and ? be a hyperoperation on H, that is ? is a function from H × H to P ? (H) = P(H)\{?}. thusly H is called a hyper K-algebra if it contains a constant 0 and satis?es the following axioms: (HK1) (x ? z) ? (y ? z) < x ? y (HK2) (x ? y) ? z = (x ? z) ? y (HK3) x < x 37 3 8 L. Torkzadeh & M.M. Zahedi (HK4) x OrderEssay.net

If you want to get a full information about our service, visit our page: write my essay