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Jurnal Matematika dan Sains (JMS)

Vol. 2 No. 1 (2022): Jurnal Matematika dan Sains (JMS)

Inne Syafrian Putri (UIN Sunan Gunung Djati Bandung)
Bintang Puja Rahayu (UIN Sunan Gunung Djati Bandung)

Publish Date
26 Feb 2022

Let be the set of nonzero divisors of the commutative ring . The zero divisor graph of is with the set of vertices , where two distinct vertices and are neighbors if and only if . The value of the upper dimension and the minimum solution set (base) of the zero divisor graph is finite. The steps to find the upper dimensions and base are from the specified ring, determine the zero divisor graph of the ring, and look for a different representation of . The set is called the solution set if all the vertices of have different representations of . In this study, some theorem about upper dimensions and base of the zero divisor graph of the commutative ring are discussed.

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