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- W2077751590 startingPage "1217" @default.
- W2077751590 abstract "The intersection of all two-sided ideals of an ordered semigroup, if it is non-empty, is called the kernel of the ordered semigroup. A left ideal L of an ordered semigroup (<TEX>$S,{cdot},{leq}$</TEX>) having a kernel I is said to be simple if I is properly contained in L and for any left ideal L' of (<TEX>$S,{cdot},{leq}$</TEX>), I is properly contained in L' and L' is contained in L imply L' = L. The notions of simple right and two-sided ideals are defined similarly. In this paper, the author characterize when an ordered semigroup having a kernel is the class sum of its simple left, right and two-sided ideals. Further, the structure of simple two-sided ideals will be discussed." @default.
- W2077751590 created "2016-06-24" @default.
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- W2077751590 date "2014-07-31" @default.
- W2077751590 modified "2023-10-02" @default.
- W2077751590 title "ON SIMPLE LEFT, RIGHT AND TWO-SIDED IDEALS OF AN ORDERED SEMIGROUP HAVING A KERNEL" @default.
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- W2077751590 doi "https://doi.org/10.4134/bkms.2014.51.4.1217" @default.
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