Infinite Rings with Planar Zero-Divisor Graphs |
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| Authors: | Yongwei Yao |
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| Institution: | 1. Department of Mathematics and Statistics , Georgia State University , Atlanta, Georgia, USA yyao@gsu.edu |
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| Abstract: | In this article, we give an extension of the Fundamental Theorem of finite dimensional algebras to the case of ?2-graded algebras. Essentially, the results are the same as in the classical case, except that the notion of a ?2-graded division algebra needs to be modified. We classify all finite dimensional ?2-graded division algebras over ? and ?. |
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| Keywords: | Planar Zero-divisor graphs |
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