2009/03/06 by Inge Bethke, Bethke, Inge, P.H. Rodenburg +4
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Computer and information sciences #Logic in Computer Science (cs.LO) #Rings, Modules, and Algebras #cs.LO
paper · pdf · doi:10.48550/arxiv.0903.1196
12 pages
arxiv created 2009/03/06 · openalex publication_date 2009/03/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.