The structure of finite meadows

Details The structure of finite meadows The structure of finite meadows

2009-03-06

arxiv.org/abs/0903.1196v1

Computer Science

Logic in Computer Science

12 pages

Scientific paper

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.

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