| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 431423 | Journal of Logical and Algebraic Methods in Programming | 2015 | 7 Pages |
Abstract
•Commutative rings with total inverse operator satisfying 0−1=00−1=0.•The class of finite meadows is the closure of the class of Galois fields under finite products.•Unique representation of minimal finite meadows in terms of finite prime fields.
A meadow is a commutative ring with a total inverse operator satisfying 0−1=00−1=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.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Inge Bethke, Piet Rodenburg, Arjen Sevenster,