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On the Total Graph and Its Complement of a Commutative Ring

Communications in Algebra, 2013
T Asir, Tamizh Chelvam T
exaly  

On the Total Graph of a Finite Commutative Ring

Communications in Algebra, 2012
Mohammad Hassan Shirdareh Haghighi
exaly  

On the zero-divisor graph of a commutative ring

Journal of Algebra, 2004
Saieed Akbari
exaly  

Commutativity of rings with constraints on commutators

2012
This paper studies commutativity of rings \(R\) satisfying polynomial identities of the form\break \(x^t[x^n,y]y^r=[x,y^m]y^s\) and three similar forms, where \(n,m,r,s,t\) are suitably-chosen nonnegative integers. Whether the theorems are correct as stated is not clear, but for some \((n,m,r,s,t)\) the proofs given do not work.
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