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The structure of finite meadows (0903.1196v1)
Published 6 Mar 2009 in cs.LO
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.