References
- A. Abbasi and Sh. Habibi, The total graph of a commutative ring with respect to proper ideals, J. Korean Math. Soc. 49 (2012), no. 1, 85-98. https://doi.org/10.4134/JKMS.2012.49.1.085
- A. Abbasi and Sh. Habibi, The total graph of a module over a commutative ring with respect to proper submodules, J. Algebra Appl. 11 (2012), no. 3, 1250048, 13 pp.
- D. D. Anderson and S. Chun, The set of torsion elements of a module, Comm. Algebra. 42 (2014), 1835-1843. https://doi.org/10.1080/00927872.2013.796555
- D. D. Anderson and M. Naseer, Beck's coloring of a commutative ring, J. Algebra. 159 (1993), no. 2, 500-514. https://doi.org/10.1006/jabr.1993.1171
- D. F. Anderson, M. C. Axtell, and J. A. Stickles, Jr., Zero-divisor graphs in commutative rings, in Commutative Algebra, Noetherian and Non-Noetherian Perspectives (M. Fontana, S.-E. Kabbaj, B. Olberding, I. Swanson, Eds.), 23-45, Springer-Verlag, New York, 2011.
- D. F. Anderson and A. Badawi, On the total graph of a commutative ring without the zero element, J. Algebra Appl. 11 (2012), no. 4, 1250074, 18 pp.
- D. F. Anderson and A. Badawi, The generalized total graph of a commutative ring, J. Algebra Appl. 12 (2013), no. 5, 1250212, 18 pp.
- D. F. Anderson and A. Badawi, The total graph of a commutative ring, J. Algebra. 320 (2008), no. 7, 2706-2719. https://doi.org/10.1016/j.jalgebra.2008.06.028
- D. F. Anderson and P. F. Livingston, The zero-divisor graph of a commutative ring, J. Algebra. 217 (1999), no. 2, 437-447.
- D. F. Anderson and S. B. Mulay, On the diameter and girth of a zero-divisor graph, J. Pure Appl. Algebra. 210 (2007), no. 2, 543-550. https://doi.org/10.1016/j.jpaa.2006.10.007
- Z. Barati, K. Khashyarmanesh, F. Mohammadi, and K. Nafar, On the associated graphs to a commutative ring, J. Algebra Appl. 11 (2012), no. 2, 1250037, 17 pp.
- I. Beck, Coloring of commutative rings, J. Algebra. 116 (1988), no. 1, 208-226. https://doi.org/10.1016/0021-8693(88)90202-5
- S. Ebrahimi Atani and F. Esmaeili Khalil Saraei, The total torsion element graph of semimodules over commutative semirings, Algebra and Discrete Mathematics 16 (2013), no. 1, 1-15.
- S. Ebrahimi Atani and S. Habibi, The total torsion element graph of a module over a commutative ring, An. St. Univ. Ovidius Constant. 19 (2011), no. 1, 23-34.
- R. L. MacCasland and P. F. Smith , Prime submodules of Noetherian modules, Rocky Mountain J. Math. 23 (1993), 1041-1062. https://doi.org/10.1216/rmjm/1181072540