Browse > Article
http://dx.doi.org/10.5666/KMJ.2014.54.2.197

Poset Properties Determined by the Ideal - Based Zero-divisor Graph  

Porselvi, Kasi (Department of Mathematics, School of Science and Humanities, Karunya University)
Elavarasan, Balasubramanian (Department of Mathematics, School of Science and Humanities, Karunya University)
Publication Information
Kyungpook Mathematical Journal / v.54, no.2, 2014 , pp. 197-201 More about this Journal
Abstract
In this paper, we study some properties of finite or infinite poset P determined by properties of the ideal based zero-divisor graph properties $G_J(P)$, for an ideal J of P.
Keywords
Posets; ideals; prime ideals; graph; cycle and cut-set;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 J. A. Bondy and U. S. R. Murty, Graph theory with applications, North-Holland, Amsterdam, 1976.
2 F. R. DeMeyer, T. McKenzie and K. Schneider, The zero-divisor graph of a commutative semigroups, Semigroup Forum, 65(2002), 206-214.   DOI
3 P. Dheena and B. Elavarasan, An ideal based-zero-divisor graph of 2-primal near-rings, Bull. Korean Math. Soc., 46(6)(2009), 1051-1060.   과학기술학회마을   DOI   ScienceOn
4 B. Elavarasan and K. Porselvi, An ldeal - based zero-divisor graph of posets, Commun. Korean Math. Soc., 28(1)(2013), 79-85.   DOI   ScienceOn
5 H. R. Maimani, Median and Center of Zero-Divisor Graph of Commutative Semi-groups, Iran. J. Math. Sci. Inform., 3(2)(2008), 69-76.
6 Radomr Hala and Marek Jukl, On beck's coloring of posets, Discrete Mathematics, 309(2009), 4584-4589.   DOI   ScienceOn
7 Radomr Hala, On extensions of ideals in posets, Discrete Mathematics, 308(2008), 4972-4977.   DOI   ScienceOn
8 S. P. Redmond, An ideal-based zero-divisor graph of a commutative ring, Comm. Algebra, 31(9)(2003), 4425-4443.   DOI   ScienceOn
9 Tongsuo Wu and Dancheng Lu, Sub-semigroups determined by the zero-divisor graph, Discrete Mathematics, 308(2008), 5122-5135.   DOI   ScienceOn
10 D. F. Anderson and P. S. Livingston, The zero-divisor graph of a commutative ring, J. Algebra, 217(1999), 434-447.   DOI   ScienceOn
11 I. Beck, Coloring of commutative rings, J. Algebra, 116(1988), 208-226.   DOI