Abstract
In this paper, we prove that the study of the comaximal graph of a finite commutative ring with identity is the same as the study of the zero-divisor graph of the specially constructed lattice. Also, we introduce the blow-up of a Boolean lattice using finite chains. Furthermore, we prove that in the case of a reduced ring, the comaximal graph and the co-annihilating graph coincide. In the last section, we study the perfectness of the comaximal graphs and characterize the Hamiltonian property of the complement of a comaximal graph.
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