Implicative hyper <Emphasis Type="Italic">K</Emphasis>-algebras |
| |
| Authors: | M M Zahedi A Borumand Saeid R A Borzooei |
| |
| Institution: | (1) Dept. of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran;(2) Dept. of Mathematics, Islamic Azad University, Kerman, Iran;(3) Dept. of Mathematics, Sistan and Baluchestan University, Zahedan, Iran |
| |
| Abstract: | In this note we first define the notions of (weak, strong) implicative hyper K-algebras. Then we show by examples that these notions are different. After that we state and prove some theorems which determine the relationship between these notions and (weak) hyper K-ideals. Also we obtain some relations between these notions and (weak) implicative hyper K-ideals. Finally, we study the implicative hyper K-algebras of order 3, in particular we obtain a relationship between the positive implicative hyper K-algebras and (weak, strong) implicative hyper K-algebras under a simple condition. |
| |
| Keywords: | hyper K-algebra hyper K-ideal (weak strong) implicative hyper K-algebras (weak) implicative hyper K-ideal |
| 本文献已被 SpringerLink 等数据库收录！ |
|
