Characterizations of ordered h-regular semirings by ordered h-ideals
AIMS Mathematics, cilt.5, sa.6, ss.5768-5790, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 5 Sayı: 6
- Basım Tarihi: 2020
- Doi Numarası: 10.3934/math.2020370
- Dergi Adı: AIMS Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.5768-5790
- Anahtar Kelimeler: Ordered h-ideal, Ordered h-regular, Ordered semiring, Semiring
- Yıldız Teknik Üniversitesi Adresli: Hayır
Özet
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.