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

Ali N. A. Koam, Azeem Haider and Moin A. Ansari

Journal of Mathematics, 2019, vol. 2019, 1-8

Abstract:

In this paper, we have defined ordered quasi- - ideals and ordered bi- - ideals in ordered - semirings by defining the relation “ †in ordered semiring as if for any By using this relation we have shown that ordered quasi- - ideals and ordered bi- - ideals in ordered - semirings are generalization of quasi-ideals and bi-ideals in ordered semirings. Properties of many types of ordered - ideals including (semi)prime, (strongly) irreducible, and maximal ordered quasi- - ideals and ordered bi- - ideals in ordered - semirings have been studied.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9213536

DOI: 10.1155/2019/9213536

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