The structure of finite meadows

Bethke, Inge; Rodenburg, Piet; Sevenster, Arjen

The structure of finite meadows

Authors

Bethke, Inge

Rodenburg, Piet

Sevenster, Arjen

Description

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.
12 pages