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- W4296239719 abstract "Let S be a non trivial additive cancellation commutative semigroup having a zero 0 with the quotient group G= { s1 - s2 | s1 , s2 ∈ S }. A prime ideal P of S is called strongly prime if for a, b ∈ G, whenever a +b ∈ P, we get a ∈ P or b ∈ P. We show that a prime ideal of S is strongly prime ⇔ it is powerful. Finally, we prove that if O is an oversemigroup of S and S and O have the nonzero ideal I where I is powerful in O, then 3I is a powerful ideal of S." @default.
- W4296239719 created "2022-09-18" @default.
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- W4296239719 date "2017-03-16" @default.
- W4296239719 modified "2023-10-17" @default.
- W4296239719 title "On some powerful ideals of semigroups" @default.
- W4296239719 doi "https://doi.org/10.56947/gjom.v5i1.91" @default.
- W4296239719 hasPublicationYear "2017" @default.
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