Advanced search
Publication Cover
Communications in Algebra Volume 44, 2016 - Issue 9
Submit an article Journal homepage
105
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Automorphism Group of the Rank-decreasing Graph Over the Semigroup of Upper Triangular Matrices

Dengyin WangDepartment of Mathematics, China University of Mining and Technology, Xuzhou, ChinaCorrespondence[email protected]
,
Xiaobin MaDepartment of Mathematics, China University of Mining and Technology, Xuzhou, China
&
Fenglei TianDepartment of Mathematics, China University of Mining and Technology, Xuzhou, China
Pages 4088-4096 | Received 04 Jun 2015, Published online: 19 May 2016

REFERENCES

  • Akbari, S., Mohammadian, A. (2007). On zero-divisor graphs of finite rings. J. Algebra 314:168–184.
  • Anderson, D. D., Naseer, M. (1993). Becks coloring of a commutative ring. J. Algebra 159:500–514.
  • Anderson, D. F., Livingston, P. S. (1999). The zero-divisor graph of a commutative ring. J. Algebra 217:434–447.
  • Anderson, D. F., Mulay, S. B. (2007). On the diameter and girth of a zero-divisor graph. J. Pure App. Algebra 210:543–550.
  • Anderson, D. F., Levy, R. Shapiro J. (2003). Zero-divisor graphs, von Neumann regular rings and Boolean algebras. J. Pure Appl. Algebra 180:221–241.
  • Axtell, M., Coykendall, J., Stickles, J. (2005). Zero-divisor graphs of polynomial and power series over commutative rings. Comm. Alg. 33:2043–2050.
  • Beck, I. (1988). Coloring of commutative rings. J. Algebra 116:208–226.
  • Božić, I., Petrović, Z. (2009). Zero-divisor graphs of matrices over commutative rings. Comm. Alg. 37:1186–1192.
  • Han, J. (2008). The zero-divisor graph under group actions in a noncommutative ring. J. Korean Math. Soc. 45:1647–1659.
  • Levy, R., Shapiro, T. (2002). The zero-divisor graph of von neumann regular rings. Comm. Alg. 30:745–750.
  • Li, B. (2011). Zero-divisor graph of triangular matrix rings over commutative rings. International Journal of Algebra 5:255–260.
  • Li, A., Tucci, P. R. (2013). Zero-divisor graphs of upper triangular matrix rings. Comm. Alg. 41:4622–4636.
  • Lucas, T. G. (2006). The diameter of a zero divisor graph. J. Algebra 301:174–193.
  • Park, S. Han J. (2011). The group of graph automorphisms over a matrix rings. J. Korean Math. Soc. 48:301–309.
  • Redmond, S. (2002). The zero-divisor graph of a noncommutative ring. International J. Commutative Rings 1:203–211.
  • Wang, L. (2015). A note on automorphisms of the zero-divisor graph of upper triangular matrices. Lin. Alg. Appl. 465:214–220.
  • Wong, D., Ma, X., Zhou, J. (2014). The group of automorphisms of a zero-divisor graph based on rank one upper triangular matrices. Lin. Alg. Appl. 460:242–258.
  • Wu, T. (2005). On directed zero-divisor graphs of finite rings. Discrete Math. 296:73–86.

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.