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535 544 Bell, H. E. and Klein, A. A. , Noncommutativity and noncentral zero divisors, Internat. J. Math. & Math. Sci. 22 (1999), 67–74. MR 2000b
References [1] Anderson , D. F. Livingston , P. S. 1999 The zero-divisor graph of commutative ring J
Abstract
A subset X of the ring
] Huckaba , J. A. , Commutative rings with zero divisors , Marcel Dekker Inc. , New York , 1988 . [14] Hwang , S
. , Commutative Rings with Zero-Divisors , Marcel Dekker , New York , 1988 . [11] Huckaba , J. A. and Keller , J. M. , Annihilation of ideals in Commutative rings , Pacific J
A recently published paper [6] considered the total graph of commutative ring R. In this paper, we compute Wiener, hyper-Wiener, reverse Wiener, Randić, Zagreb, ABC and GA indices of zero-divisor graph.
Abstract
Connections between radicals of alternative and right alternative rings are investigated, with emphasis on those which are nondegenerate in the sense that semi-simple rings have no absolute zero-divisors. In particular it is shown that nondegenerate radicals of right alternative rings have the Anderson-Divinsky-Sulinski property.
References [1] Akbari , S. Maimani , H. R. Yassemi , S. 2003 When a zero-divisor graph is planar or
] Anderson , D. F. Livingston , P. S. 1999 The zero-divisor graph of a commutative ring J. Algebra 217 434 – 447 10.1006/jabr.1998
