{"references": ["D. F. Anderson and J. D. LaGrange, Commutative Boolean monoids,\nreduced rings, and the compressed zero-divisor graph, J. Pure Appl.\nAlgebra, 216 (2012), 1626-1636.", "S. E. Attani, On primal and wekly primal ideals over commutative\nsemirings, Glasnik Matematicki, 43, (2008), 13-23.", "S. E. Attani and A. Y. Darani, Zero divisor graphs with respect to primal\nand weakly primal ideas, J. Korean Math. Soc. 46 (2009), 313-325.", "I. Beck, Coloring of a Commutative Ring, J. Algebra 116 (1988), 208-\n226 .", "F. R. DeMeyer, T. McKenzie and K. Schneider, The Zero-Divisor Graph\nof a Commutative Semigroup, Semigroup Forum 65 (2002), 206-214.", "R. Hala\u02c7s, Ideals and annihilators in ordered sets, Czech. Math . J. 45\n(1995), 127-134.", "R. Hala\u02c7s and H. L\u00a8anger, The zero divisor graph of a qoset, Order 27,\n343-351.", "R. Hala\u02c7s and M. Jukl, On Beck's coloring of posets, Discrete Math. 309\n(2009), 4584-4589.", "V. V. Joshi, Zero divisor graph of a poset with respect to an ideal, Order\n29 (2012), 499-506.\n[10] V. V. Joshi and Nilesh Mundlik , On primary ideals in poset, Mathematica\nSlovaca 65 (2016),1237-1250 .\n[11] V. V. Joshi, B. N. Waphare, and H. Y. Pourali, Zero divisor graphs\nof lattices and primal ideals, Asian-Eur. J. Math. 5 (2012), 1250037-\n1250046.\n[12] V. V. Joshi , B. N. Waphare and H. Y. Pourali, Generalized zero divisor\ngraph of a poset, Discrete Appl. Math. 161 (2013),1490-1495.\n[13] V. V. Joshi, B. N. Waphare, and H. Y. Pourali, The graph of equivalence\nclasses of zero divisors, ISRN Discrete Math. (2014). Article ID 896270,\n7 pages. http:// dx.doi.org/101155/2014/896270.\n[14] H. Y. Pourali, V. V. Joshi and B. N. Waphare, Diameter of zero divisor\ngraphs of finite direct product of lattices, World Academy of Science,\nEngineering and Technology. (2014). Vol: 8, No:9.\n[15] D. Lu and T. Wu, The zeor divisor graphs of posets and an application\nto semigroups, 26 (2010), 793-804.\n[16] S. K. Nimbhorkar , M. P. Wasadikar and Lisa DeMeyer, Coloring of\nsemilattices, Ars Comb. 12 (2007), 97-104 .\n[17] S.P. Redmond, The zero-divisor graph of a non-commutative ring, Int.\nJ. Comm. Rings 4 (2002), 203-211.\n[18] P. V. Venkatanarsimhan, Semi-ideals in posets, Math. Annalen 185\n(1970), 338-348.\n[19] D. B. West, Introduction to Graph Theory, Practice Hall, New Delhi,\n2009."]}

In this paper, we extend the concepts of primal and weakly primal ideals for posets. Further, the diameter of the zero divisor graph of a poset with respect to a non-primal ideal is determined. The relation between primary and primal ideals in posets is also studied.