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- W2999350932 abstract "We define the notion of z-semi-ideals in a poset $P$ and we show that if a z-semi-ideal $J$ satisfies $(ast )$-property, then every minimal prime semi-ideal containing $J$ is also a z-semi-ideal of $P.$ We also show that every prime semi-ideal is a z-semi-ideal or the maximal z-semi-ideals contained in it are prime z-semi-ideals. Further, we characterize some properties of union of prime semi-ideals of $P$ provided the prime semi-ideals are contained in the unique maximal semi-ideal of $P.$" @default.
- W2999350932 created "2020-01-23" @default.
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- W2999350932 date "2020-01-01" @default.
- W2999350932 modified "2023-09-24" @default.
- W2999350932 title "Some Properties of Prime and Z-Semi-Ideals in Posets" @default.
- W2999350932 doi "https://doi.org/10.22034/kjm.2019.97095" @default.
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