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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 727 - 735 (9page)
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In this paper, we study and establish some interesting results of ideals in a poset. It is shown that for a nonzero ideal $I$ of a poset $P$, there are at most two strongly prime ideals of $P$ that are minimal over $I$. Also, we study the notion of primal ideals in a poset and the relationship among the primal ideals and strongly prime ideals is considered.
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참고문헌 (10)
참고문헌 신청
J. Catherine Grace John / 2014 / Primeness of extension of semi-ideals in posets / Applied Mathematical Sciences 164(8):8227~8232
J. Catherine Grace John / zJ -ideals and strongly prime ideals in posets
J. Catherine Grace John / 2015 / Strongly prime and strongly semiprime ideals in Posets / Global Journal of Pure and Applied Mathematics 11(5):2965~2970
L. Fuchs / 1950 / On primal ideals / Proc. Amer. Math. Soc. 1:1~6
L. Fuchs / 2004 / Commutative ideal theory without finiteness conditions: Primal ideal / Trans. Amer. Math. Soc. 357(7):2771~2798
J. Catherine Grace John / zJ -ideals and strongly prime ideals in posets
J. Catherine Grace John / 2015 / Strongly prime and strongly semiprime ideals in Posets / Global Journal of Pure and Applied Mathematics 11(5):2965~2970
L. Fuchs / 1950 / On primal ideals / Proc. Amer. Math. Soc. 1:1~6
L. Fuchs / 2004 / Commutative ideal theory without finiteness conditions: Primal ideal / Trans. Amer. Math. Soc. 357(7):2771~2798
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