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- W3040795817 abstract "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." @default.
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- W3040795817 date "2020-01-01" @default.
- W3040795817 modified "2023-09-23" @default.
- W3040795817 title "Characterizations of ordered $h$-regular semirings by ordered $h$-ideals" @default.
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- W3040795817 doi "https://doi.org/10.3934/math.2020370" @default.
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