[
[1] Aalipour Gh, Akbari S, Behboodi M, Nikandish R, Nikmehr M J, Shaveisi F. The classification of the annihilating-ideal graphs of commutative rings. Algebra Colloq., 21(02):249–256, 2014. doi:10.1142/S100538671400020010.1142/S1005386714000200
]Search in Google Scholar
[
[2] Aalipour Gh, Akbari S, Nikandish R, Nikmehr M J, Shaveisi F. On the coloring of the annihilating-ideal graph of a commutative ring. Discrete Math., 312(17):2620–2626, 2012. doi:10.1016/j.disc.2011.10.02010.1016/j.disc.2011.10.020
]Search in Google Scholar
[
[3] Afkhami M, Barati Z, Khashyarmanesh K. A graph associated to a lattice. Ric. Mat., 63(1):67–78, 2014. doi:10.1007/s11587-013-0164-610.1007/s11587-013-0164-6
]Search in Google Scholar
[
[4] Akbari S, Maimani H R, Yassemi S. When a zero-divisor graph is planar or a complete r-partite graph. Journal of Algebra, 270(1):169–180, 2003. doi:10.1016/S0021-8693(03)00370-310.1016/S0021-8693(03)00370-3
]Search in Google Scholar
[
[5] Akbari S, Mohammadian A. On the zero-divisor graph of a commutative ring. J. Algebra, 274(2):847–855, 2004. doi:10.1016/S0021-8693(03)00435-610.1016/S0021-8693(03)00435-6
]Search in Google Scholar
[
[6] Aliabad A R, Badie M. Fixed-place ideals in commutative rings. Comment. Math. Univ. Carolin., 54(1):53–68, 2013.10.1080/00927872.2011.630706
]Search in Google Scholar
[
[7] Aliabad A R, Badie M. On Bourbaki associated prime divisors of an ideal. Quaest. Math., pages 1–22, 2018. doi:10.2989/16073606.2018.145992410.2989/16073606.2018.1459924
]Search in Google Scholar
[
[8] Aliabad A R, Badie M, Nazari S. An extension of z-ideals and z°-ideals. Hacet. J. Math. Stat., 49(1):254–272 2020. doi:10.15672/hujms.45503010.15672/hujms.455030
]Search in Google Scholar
[
[9] Aliabad A R and Mohamadian R. On sz◦-ideals in polynomial rings. Comm. Algebra, 39(2):701–717, 2011. doi:10.1080/0092787100359188410.1080/00927871003591884
]Search in Google Scholar
[
[10] Aliniaeifard F, Behboodi M. Rings whose annihilating-ideal graphs have positive genus. J. Algebra Appl., 11(03):1250049, 2012. doi: 10.1142/S021 9498811005774
]Search in Google Scholar
[
[11] Anderson D F, Levy R, Shapiro R. Zero-divisor graphs, von neumann regular rings, and boolean algebras. J. Pure App. Algebra, 180(3):221–241, 2003. doi:10.1016/S0022-4049(02)00250-510.1016/S0022-4049(02)00250-5
]Search in Google Scholar
[
[12] Anderson D F, Livingston P S. The zero-divisor graph of a commutative ring. J. Algebra, 217(2):434–447, 1999. doi:10.1006/jabr.1998.784010.1006/jabr.1998.7840
]Search in Google Scholar
[
[13] Assari A, Rahimi M. Graphs generated by measures. J. of Math., 2016, 2016. doi:10.1155/2016/170681210.1155/2016/1706812
]Search in Google Scholar
[
[14] Atiyah M F, Macdonald I G. Introduction to commutative algebra, volume 2. Addison-Wesley Reading, MA, 1969.
]Search in Google Scholar
[
[15] Azarpanah F and Motamedi M. Zero-divisor graph of C(X). Acta Math. Hungar., 108(1-2):25–36, 2005. doi:10.1007/s10474-005-0205-z10.1007/s10474-005-0205-z
]Search in Google Scholar
[
[16] Badie M. Annihilating-ideal graph of C(X). J. Algebr. Syst., to apear.
]Search in Google Scholar
[
[17] Beck I. Coloring of commutative rings. J. Algebra, 116(1):208–226, 1988. doi:10.1016/0021-8693(88)90202-510.1016/0021-8693(88)90202-5
]Search in Google Scholar
[
[18] Behboodi M, Rakeei Z. The annihilating-ideal graph of commutative rings I. J. Algebra Appl., 10(04):727–739, 2011. doi:10.1142/S02194988110048 96
]Search in Google Scholar
[
[19] Behboodi M, Rakeei Z. The annihilating-ideal graph of commutative rings II. J. Algebra Appl., 10(04):741–753, 2011. doi:10.1142/S02194988110049 02
]Search in Google Scholar
[
[20] Bondy J A, Murty U S R. Graph theory with Application. The Macmillan Press, New York, 1976.10.1007/978-1-349-03521-2
]Search in Google Scholar
[
[21] Chelvam T, Selvakumar K. On the connectivity of the annihilating-ideal graphs. Discuss. Math. Gen. Algebra Appl., 35(2):195–204, 2015. doi:10.7151/dmgaa.124110.7151/dmgaa.1241
]Search in Google Scholar
[
[22] Gillman L, Jerison M. Rings of continuous functions. Van. Nostrand Reinhold, New York, 1960.10.1007/978-1-4615-7819-2
]Search in Google Scholar
[
[23] Henriksen M, Jerison M. The space of minimal prime ideals of a commutative ring. Trans. Amer. Math. Soc., 115:110–130, 1965. doi:10.2307/19942 60
]Search in Google Scholar
[
[24] Levy R, Shapiro J. The zero-divisor graph of von neumann regular rings. 2002. doi:10.1081/AGB-12001317810.1081/AGB-120013178
]Search in Google Scholar
[
[25] Mason G. Prime ideals and quotient rings of reduced rings. Sci. Math. Jpn., 34(6):941–956, 1989.
]Search in Google Scholar
[
[26] Nikandish R, Maimani H R. Dominating sets of the annihilating-ideal graphs. Electron. Notes Discrete Math., 45:17–22, 2014. doi:10.10 16/j.endm.2013.11.00510.1016/j.endm.2013.11.005
]Search in Google Scholar
[
[27] Nikandish R, Maimani H R, Kiani S. Domination number in the annihilating-ideal graphs of commutative rings. Publ. Inst. Math., 97(111): 225–231, 2015. doi:10.2298/PIM140222001N10.2298/PIM140222001N
]Search in Google Scholar
[
[28] Redmond S. Central sets and radii of the zero-divisor graphs of commutative rings. Comm. Algebra, 34(7):2389–2401, 2006. doi:10.1080/00 927870600649103
]Search in Google Scholar
[
[29] Samei K. The zero-divisor graph of a reduced ring. J. Pure App. Algebra, 209(3):813–821, 2007. doi:10.1016/j.jpaa.2006.08.00810.1016/j.jpaa.2006.08.008
]Search in Google Scholar
[
[30] Sharp R Y. Steps in commutative algebra, volume 51. Cambridge university press, 2000.10.1017/CBO9780511623684
]Search in Google Scholar
[
[31] Willard S. General Topology. Addison Wesley Publishing Company, New York, 1970.
]Search in Google Scholar