Weakly quadratent rings
We completely characterize up to an isomorphism those rings whose elements satisfy the equations $ x^4=x $ or $ x^4=-x $ . Specifically, it is proved that a ring is weakly quadratent if, and only if, it is isomorphic to either K, $ \mathbb {Z}_3 $ , $ \mathbb {Z}_7 $ , $ K\times \mathbb {Z}_3 $ or $...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2019-12-01
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| Series: | Journal of Taibah University for Science |
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| Online Access: | http://dx.doi.org/10.1080/16583655.2018.1545559 |