Classification of Rings with Genus One Zero-Divisor Graphs |
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| Authors: | Cameron Wickham |
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| Institution: | 1. Department of Mathematics , Missouri State University , Springfield, Missouri, USA cwickham@missouristate.edu |
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| Abstract: | This paper investigates properties of the zero-divisor graph of a commutative ring and its genus. In particular, we determine all isomorphism classes of finite commutative rings with identity whose zero-divisor graph has genus one. |
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| Keywords: | Finite commutative ring Zero divisor Zero-divisor graph |
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