A NOTE ON DERIVATIONS OF ORDERED Γ-SEMIRINGS

被引：0
|
作者：
Kim, Kyung Ho [1 ]
机构：
[1] Korea Natl Univ Transportat, Dept Math, Chungju 27469, South Korea
来源：
KOREAN JOURNAL OF MATHEMATICS | 2019年 / 27卷 / 03期
关键词：
Semiring; ordered Gamma-semiring; reverse derivation; positively ordered; idempotent; Fix(d) (M);
D O I：
10.11568/kjm.2019.27.3.779
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider derivation of an ordered Gamma-semiring and introduce the notion of reverse derivation on ordered Gamma-semiring. Also, we obtain some interesting related properties. Let I be a nonzero ideal of prime ordered Gamma-semiring M and let d be a nonzero derivation of M. If Gamma-semiring M is negatively ordered, then d is nonzero on I.
引用
收藏
页码：779 / 791
页数：13
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