Ordered Quasi(BI)-Γ-Ideals in Ordered Γ-Semirings

被引：2
|
作者：
Koam, Alin N. A. [1 ]
Haider, Azeem [1 ]
Ansari, Moin A. [1 ]
机构：
[1] Jazan Univ, Coll Sci, Dept Math, Jazan, Saudi Arabia
来源：
JOURNAL OF MATHEMATICS | 2019年 / 2019卷
关键词：
GENERALIZED BIIDEALS;
D O I：
10.1155/2019/9213536
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we have defined ordered quasi-G-ideals and ordered bi-Gamma-ideals in ordered Gamma-semirings by defining the relation "<=" in ordered Gamma semiring S as a <= b if a + x = b for any a, b, x epsilon S. By using this relation we have shown that ordered quasi-Gamma-ideals and ordered bi-Gamma-ideals in ordered Gamma-semirings are generalization of quasi-ideals and bi-ideals in ordered semirings. Properties of many types of ordered Gamma-ideals including (semi)prime, (strongly) irreducible, and maximal ordered quasi-Gamma-ideals and ordered bi-Gamma-ideals in ordered Gamma-semirings S have been studied.
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页数：8
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