Ordered Quasi(BI)-Γ-Ideals in Ordered Γ-Semirings
Joint Authors
Koam, Ali N. A.
Haider, Azeem
Ansari, Moin A.
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, we have defined ordered quasi-Γ-ideals and ordered bi-Γ-ideals in ordered Γ-semirings by defining the relation “≤” in ordered Γ semiring S as a≤b if a+x=b for any a,b,x∈S.
By using this relation we have shown that ordered quasi-Γ-ideals and ordered bi-Γ-ideals in ordered Γ-semirings are generalization of quasi-ideals and bi-ideals in ordered semirings.
Properties of many types of ordered Γ-ideals including (semi)prime, (strongly) irreducible, and maximal ordered quasi-Γ-ideals and ordered bi-Γ-ideals in ordered Γ-semirings S have been studied.
American Psychological Association (APA)
Koam, Ali N. A.& Haider, Azeem& Ansari, Moin A.. 2019. Ordered Quasi(BI)-Γ-Ideals in Ordered Γ-Semirings. Journal of Mathematics،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1181442
Modern Language Association (MLA)
Koam, Ali N. A.…[et al.]. Ordered Quasi(BI)-Γ-Ideals in Ordered Γ-Semirings. Journal of Mathematics No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1181442
American Medical Association (AMA)
Koam, Ali N. A.& Haider, Azeem& Ansari, Moin A.. Ordered Quasi(BI)-Γ-Ideals in Ordered Γ-Semirings. Journal of Mathematics. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1181442
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1181442
