On the probability of zero divisor elements in group rings
Let $R$ be a non trivial finite commutative ring with identity and $G$ be a non trivial group. We denote by $P(RG)$ the probability that the product of two randomly chosen elements of a finite group ring $RG$ is zero. We show that $P(RG)<\frac{1}{4}$ if and only if $RG\ncong \mathbb{Z}_2C_2,\...
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| Format: | Article |
| Language: | English |
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University of Isfahan
2022-12-01
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| Series: | International Journal of Group Theory |
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| Online Access: | https://ijgt.ui.ac.ir/article_26054_2690f3deefb66baa0c7be9888228a25a.pdf |