The structure of finite meadows
classification
💻 cs.LO
keywords
finitemeadowsclassfieldsclosurecommutativecorollarygalois
read the original 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.
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