Characterizations of ordered h-regular semirings by ordered h-ideals

被引：9

作者：

Anjum, Rukhshanda ^{[1
]}

Ullah, Saad ^{[1
]}

Chu, Yu-Ming ^{[2
,3
]}

Munir, Mohammad ^{[4
]}

Kausar, Nasreen ^{[5
]}

Kadry, Seifedine ^{[6
]}

机构：

[1] Univ Lahore, Dept Math & Stat, Lahore, Pakistan

[2] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

[3] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China

[4] Govt Postgrad Coll, Dept Math, Abbottabad, Pakistan

[5] Univ Agr Faisalabad, Dept Math & Stat, Faisalabad, Pakistan

[6] Beirut Arab Univ, Fac Sci, Dept Math & Comp Sci, Beirut, Lebanon

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 06期

基金：

中国国家自然科学基金;

关键词：

semiring; ordered semiring; ordered h-regular; ordered h-ideal; NONASSOCIATIVE-RINGS; FUZZY; HEMIRINGS;

D O I：

10.3934/math.2020370

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to study the ordered h-regular semirings by the properties of their ordered h-ideals. It is proved that each h-regular ordered semiring is an ordered h-regular semiring but the converse does not follow. Important theorems relating to basic properties of the operator clousre and h-regular semirings are given. It is also proved that each regular ordered semiring is an ordered h-regular semiring but the converse does not hold. The classifications of the left and the right ordered h-regular semirings and the left and the right ordered h-weakly regular semirings are also presented.

引用

页码：5768 / 5790

页数：23

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