The structure of finite meadows
| Authors | |
|---|---|
| Publication date | 2015 |
| Journal | Journal of Logical and Algebraic Methods in Programming |
| Volume | Issue number | 84 | 2 |
| Pages (from-to) | 276-282 |
| Organisations |
|
| 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 | Article |
| Language | English |
| Published at | https://doi.org/10.1016/j.jlamp.2014.08.004 |
| Downloads |
0903.1196.pd
(Submitted manuscript)
|
| Permalink to this page | |