The structure of finite meadows
| Authors | |
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| Publication date | 2009 |
| Number of pages | 12 |
| Publisher | Ithaca, NY: ArXiv |
| Organisations |
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| Abstract | A meadow is a commutative ring with a total inverse operator satisfying 0^{-1}=0. We show that the class of finite meadows is the closure of the class of Galois fields under finite products. As a corollary, we obtain a unique representation of minimal finite meadows in terms of finite prime fields. |
| Document type | Working paper |
| Language | English |
| Published at | http://arxiv.org/abs/0903.1196 |
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