Ternary Γ-semihyperrings: ideals, regular ideals and fundamental semirings

被引：0
|
作者：
Davvaz, B. [1 ]
Dehkordi, S. O. [1 ]
机构：
[1] Yazd Univ, Dept Math, Yazd, Iran
来源：
AFRIKA MATEMATIKA | 2022年 / 33卷 / 02期
关键词：
Ternary Gamma-semihyperring; Regular ideal; Simple ternary Gamma-semihyperring; Right(left) fundamental semiring;
D O I：
10.1007/s13370-022-00978-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of ternary Gamma-semihyperrings is a generalization of semirings. In a ternary Gamma-semihyperring, addition is a hyperoperation and multiplication is a ternary hyperoperation. Our main purpose of this paper is to introduce regular and simple ternary Gamma-semihyperrings and study the notions of right (left) fundamental semirings, and we show that there is a covariant functor between the category of relocation ternary Gamma-semihyperrings and semirings.
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页数：27
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