56
Views
0
CrossRef citations to date
0
Altmetric
Research Article

A new intersection-graph type for modules

ORCID Icon & ORCID Icon
Pages 2065-2078 | Received 04 May 2023, Accepted 02 Nov 2023, Published online: 24 Nov 2023

References

  • Behboodi, M., Rakeei, Z. (2011). The annihilating-ideal graph of commutative rings I. J. Algebra Appl. 10(4):727–739. DOI: 10.1142/S0219498811004896.
  • Blyth, T. S. (2018). Module Theory: An Approach to Linear Algebra, 2nd ed. St Andrews, UK: University of St Andrews.
  • Bondy, J. A., Murty, U. S. R. (2011). Graph Theory. London: Spleft moduleer-Verlag.
  • Chelvam, T. T., Asir, T. (2013). The intersection graph of gamma sets in the total graph of a commutative ring I. J. Algebra Appl. 12(4):1250198. DOI: 10.1142/S0219498812501988.
  • Jafari, S. H., Rad, N. J. (2011). Domination in the intersection graphs of rings and modules. Ital. J. Pure Appl. Math. 28(2):17–20.
  • Jafari, S. H., Rad, N. J. (2010). Planarity of intersection graphs of ideals of rings. Int. Electron. J. Algebra 8:161–166.
  • Mahdavi, L. A., Talebi, Y. (2016). Co-intersection graph of submodules of a module. Algebra Discrete Math. 21(1):128–143.
  • Matczuk, J., Majidinya, A. (2021). Sum-essential graphs of modules. J. Algebra Appl. 20(11):211–215. DOI: 10.1142/S021949882150211X.
  • Matczuk, J., Nowakowska, M., Puczy lowski, E. R. (2018). Intersection graphs of modules and rings. J. Algebra Appl. 17(3):185–131. DOI: 10.1142/S0219498818501311.
  • Pucanovic, Z. S., Radovanovic, M., Eric, A. L. J. (2014). On the genus of the inter-section graph of ideals of a commutative ring. J. Algebra Appl. 13(5):1350155, pp. 20.
  • Ramanathan, V. (2021). On projective intersection graph of ideals of commutative rings. J. Algebra Appl. 20(2):2150017. DOI: 10.1142/S0219498821500171.
  • Sajana, S., Bharathi, D., Srimitra, K. K. (2017). Signed intersection graph of ideals of a ring. Int. J. Pure Appl. Math. 113(10):175–183.
  • Talebi, A. A. (2012). A kind of intersection graphs on ideals of a ring. J. Math. Stat. 8(1):82–84.
  • Vadhel, P. (2020). Some results on intersection graphs of ideals of commutative rings. Int. J. Math. Appl. 8(1):69–75.
  • Yaraneri, E. (2013). Intersection graph of a module. J. Algebra Appl. 12(05):1250218. DOI: 10.1142/S0219498812502180.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.