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zJ− Ideals and Strongly Prime Ideals in Posets
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In this paper, we study the notion of zJ - ideals of posets and explore the vari-ous properties of zJ -ideals in posets. The relations between topological space on Sspec(P),the set IQ = fx 2 P : L(x; y) I for some y 2 PnQg for an ideal I and a strongly primeideal Q of P and zJ -ideals are discussed in poset P.
Abstract
In this paper, we study the notion of zJ - ideals of posets and explore the vari-ous properties of zJ -ideals in posets. The relations between topological space on Sspec(P),the set IQ = fx 2 P : L(x; y) I for some y 2 PnQg for an ideal I and a strongly primeideal Q of P and zJ -ideals are discussed in poset P.
참고문헌 (8)
- F. Azarpanah, "On Ideals Consisting Entirely of Zero Divisor", Comm. Algebra, 28(2), pp.1061~1073 (2000)
- J. Catherine Grace John, "Strongly Prime and Strongly Semiprime ideals in Posets", Global Journal of Pure and Applied Mathematics, 11(5), pp.2965~2970 (2015)
- J. Catherine Grace John, "Primeness of extension of semi-ideals in posets", Applied Mathematical Sciences, 164(8), pp.8227~8232 (2014)
- Balasubramanian Elavarasan, "An ideal - based zero-divisor graph of posets", 대한수학회논문집, 28(1), pp.79~85 (2013), 대한수학회
- R. Halas, "On extension of ideals in posets", Discrete Mathematics, 308, pp.4972~4977 (2008)
- V. S. Kharat, "Primeness and semiprimeness in posets", Math. Bohem., 134(1), pp.19~30 (2009)
- G. Mason, "z-ideals and prime ideals", J. Algebra, 26, pp.280~297 (1973)
- P. V. Venkatanarasimhan, "Semi ideals in posets", Math. Ann., 185(4), pp.338~348 (1970)
관련 논문AI추천
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