On the commuting graph of some non-commutative rings with unity
Subject Areas : History and biographyF. Ramezani 1 , E. Vatandoost 2
1 - Department of Basic science , Imam Khomeini International University, Qazvin, Iran
2 - Department of Basic science , Imam Khomeini International University, Qazvin, Iran
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Abstract :
[1] A. Abdollahi, Commuting graphs of full matrix rings over finite fields. Linear Algebra and its Applications. 428 (11) (2008), 2947-2954.
[2] S. Akbari, M. Ghandehari, M. Hadian, A. Mohammadian, On commuting graphs of semisimple rings. Linear algebra and its applications. 390 (2004), 345-355.
[3] S. Akbari, A. Mohammadian, H. Radjavi, P. Raja, On the diameters of commuting graphs. Linear algebra and its applications. 418(1) (2006), 161-176
[4] S. Akbari, P. Raja, Commuting graphs of some subsets in simple rings. Linear algebra and its applications. 416 (2) (2006), 1038-1047.
[5] N. Biggs, Algebraic Graph Theory. Cambridge University Press, Cambridge, 1993.
[6] K. E. Eldridge, Orders for finite noncommutative rings with unity. American Mathematical Monthly. (1968), 512-514.
[7] G. R. Omidi, E. Vatandoost, On the commuting graph of rings. Journal of Algebra and Its Applications. 10 (03) (2011), 521-527.
[8] E. Vatandoost, F. Ramezani , A. Bahraini, On the commuting graph of non-commutative rings of order pnq. J. Linear. Topol. Algebra, 03 (01) (2014), 1-6.